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Finding the Third Proportional to 24,840 and 36,922.50

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Solution

The third proportional to 24,840 and 36,922.50 is: 54,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840 : 36,922.50 = 36,922.50 : x
  2. Step 2: Convert to fraction form
    24,840/36,922.50 = 36,922.50/x
  3. Step 3: Cross multiply
    24,840x = 36,922.50 × 36,922.50
  4. Step 4: Simplify right side
    24,840x = 1,363,271,006.25
  5. Step 5: Solve for x
    x = 1,363,271,006.25/24,840
  6. Step 6: Final answer
    x = 54,882.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.