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Finding the Third Proportional to 7,752.38 and 16,912.13

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Solution

The third proportional to 7,752.38 and 16,912.13 is: 36,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.38 : 16,912.13 = 16,912.13 : x
  2. Step 2: Convert to fraction form
    7,752.38/16,912.13 = 16,912.13/x
  3. Step 3: Cross multiply
    7,752.38x = 16,912.13 × 16,912.13
  4. Step 4: Simplify right side
    7,752.38x = 286,019,972.02
  5. Step 5: Solve for x
    x = 286,019,972.02/7,752.38
  6. Step 6: Final answer
    x = 36,894.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.