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Finding the Third Proportional to 45,929.13 and 65,007.88

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Solution

The third proportional to 45,929.13 and 65,007.88 is: 92,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,929.13 : 65,007.88 = 65,007.88 : x
  2. Step 2: Convert to fraction form
    45,929.13/65,007.88 = 65,007.88/x
  3. Step 3: Cross multiply
    45,929.13x = 65,007.88 × 65,007.88
  4. Step 4: Simplify right side
    45,929.13x = 4,226,023,812.02
  5. Step 5: Solve for x
    x = 4,226,023,812.02/45,929.13
  6. Step 6: Final answer
    x = 92,011.85

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.