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Finding the Third Proportional to 14,448 and 31,541

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Solution

The third proportional to 14,448 and 31,541 is: 68,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448 : 31,541 = 31,541 : x
  2. Step 2: Convert to fraction form
    14,448/31,541 = 31,541/x
  3. Step 3: Cross multiply
    14,448x = 31,541 × 31,541
  4. Step 4: Simplify right side
    14,448x = 994,834,681
  5. Step 5: Solve for x
    x = 994,834,681/14,448
  6. Step 6: Final answer
    x = 68,856.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.