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Finding the Third Proportional to 5,316.38 and 7,810.13

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Solution

The third proportional to 5,316.38 and 7,810.13 is: 11,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.38 : 7,810.13 = 7,810.13 : x
  2. Step 2: Convert to fraction form
    5,316.38/7,810.13 = 7,810.13/x
  3. Step 3: Cross multiply
    5,316.38x = 7,810.13 × 7,810.13
  4. Step 4: Simplify right side
    5,316.38x = 60,998,052.52
  5. Step 5: Solve for x
    x = 60,998,052.52/5,316.38
  6. Step 6: Final answer
    x = 11,473.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.