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Finding the Third Proportional to 14,709 and 22,791

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Solution

The third proportional to 14,709 and 22,791 is: 35,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709 : 22,791 = 22,791 : x
  2. Step 2: Convert to fraction form
    14,709/22,791 = 22,791/x
  3. Step 3: Cross multiply
    14,709x = 22,791 × 22,791
  4. Step 4: Simplify right side
    14,709x = 519,429,681
  5. Step 5: Solve for x
    x = 519,429,681/14,709
  6. Step 6: Final answer
    x = 35,313.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.