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Finding the Third Proportional to 7,494.32 and 16,497.18

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Solution

The third proportional to 7,494.32 and 16,497.18 is: 36,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.32 : 16,497.18 = 16,497.18 : x
  2. Step 2: Convert to fraction form
    7,494.32/16,497.18 = 16,497.18/x
  3. Step 3: Cross multiply
    7,494.32x = 16,497.18 × 16,497.18
  4. Step 4: Simplify right side
    7,494.32x = 272,157,098.75
  5. Step 5: Solve for x
    x = 272,157,098.75/7,494.32
  6. Step 6: Final answer
    x = 36,315.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.