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Finding the Third Proportional to 22,454 and 32,692.50

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Solution

The third proportional to 22,454 and 32,692.50 is: 47,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454 : 32,692.50 = 32,692.50 : x
  2. Step 2: Convert to fraction form
    22,454/32,692.50 = 32,692.50/x
  3. Step 3: Cross multiply
    22,454x = 32,692.50 × 32,692.50
  4. Step 4: Simplify right side
    22,454x = 1,068,799,556.25
  5. Step 5: Solve for x
    x = 1,068,799,556.25/22,454
  6. Step 6: Final answer
    x = 47,599.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.