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Finding the Third Proportional to 10,678.50 and 15,711.75

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Solution

The third proportional to 10,678.50 and 15,711.75 is: 23,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.50 : 15,711.75 = 15,711.75 : x
  2. Step 2: Convert to fraction form
    10,678.50/15,711.75 = 15,711.75/x
  3. Step 3: Cross multiply
    10,678.50x = 15,711.75 × 15,711.75
  4. Step 4: Simplify right side
    10,678.50x = 246,859,088.06
  5. Step 5: Solve for x
    x = 246,859,088.06/10,678.50
  6. Step 6: Final answer
    x = 23,117.39

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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.