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Finding the Third Proportional to 24,692.25 and 39,225.38

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Solution

The third proportional to 24,692.25 and 39,225.38 is: 62,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.25 : 39,225.38 = 39,225.38 : x
  2. Step 2: Convert to fraction form
    24,692.25/39,225.38 = 39,225.38/x
  3. Step 3: Cross multiply
    24,692.25x = 39,225.38 × 39,225.38
  4. Step 4: Simplify right side
    24,692.25x = 1,538,630,043.89
  5. Step 5: Solve for x
    x = 1,538,630,043.89/24,692.25
  6. Step 6: Final answer
    x = 62,312.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.