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Finding the Third Proportional to 24,688.13 and 37,639.69

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Solution

The third proportional to 24,688.13 and 37,639.69 is: 57,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.13 : 37,639.69 = 37,639.69 : x
  2. Step 2: Convert to fraction form
    24,688.13/37,639.69 = 37,639.69/x
  3. Step 3: Cross multiply
    24,688.13x = 37,639.69 × 37,639.69
  4. Step 4: Simplify right side
    24,688.13x = 1,416,746,075.10
  5. Step 5: Solve for x
    x = 1,416,746,075.10/24,688.13
  6. Step 6: Final answer
    x = 57,385.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.