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Finding the Third Proportional to 10,678.50 and 22,731

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Solution

The third proportional to 10,678.50 and 22,731 is: 48,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.50 : 22,731 = 22,731 : x
  2. Step 2: Convert to fraction form
    10,678.50/22,731 = 22,731/x
  3. Step 3: Cross multiply
    10,678.50x = 22,731 × 22,731
  4. Step 4: Simplify right side
    10,678.50x = 516,698,361
  5. Step 5: Solve for x
    x = 516,698,361/10,678.50
  6. Step 6: Final answer
    x = 48,386.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.