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Finding the Third Proportional to 5,088.75 and 7,306.13

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Solution

The third proportional to 5,088.75 and 7,306.13 is: 10,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.75 : 7,306.13 = 7,306.13 : x
  2. Step 2: Convert to fraction form
    5,088.75/7,306.13 = 7,306.13/x
  3. Step 3: Cross multiply
    5,088.75x = 7,306.13 × 7,306.13
  4. Step 4: Simplify right side
    5,088.75x = 53,379,462.52
  5. Step 5: Solve for x
    x = 53,379,462.52/5,088.75
  6. Step 6: Final answer
    x = 10,489.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.