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Finding the Third Proportional to 15,688.69 and 32,455.69

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Solution

The third proportional to 15,688.69 and 32,455.69 is: 67,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.69 : 32,455.69 = 32,455.69 : x
  2. Step 2: Convert to fraction form
    15,688.69/32,455.69 = 32,455.69/x
  3. Step 3: Cross multiply
    15,688.69x = 32,455.69 × 32,455.69
  4. Step 4: Simplify right side
    15,688.69x = 1,053,371,651.10
  5. Step 5: Solve for x
    x = 1,053,371,651.10/15,688.69
  6. Step 6: Final answer
    x = 67,142.11

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.