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Finding the Third Proportional to 24,032.43 and 51,762.69

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Solution

The third proportional to 24,032.43 and 51,762.69 is: 111,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.43 : 51,762.69 = 51,762.69 : x
  2. Step 2: Convert to fraction form
    24,032.43/51,762.69 = 51,762.69/x
  3. Step 3: Cross multiply
    24,032.43x = 51,762.69 × 51,762.69
  4. Step 4: Simplify right side
    24,032.43x = 2,679,376,221.62
  5. Step 5: Solve for x
    x = 2,679,376,221.62/24,032.43
  6. Step 6: Final answer
    x = 111,490.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.