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Finding the Third Proportional to 14,572.41 and 31,217.91

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Solution

The third proportional to 14,572.41 and 31,217.91 is: 66,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.41 : 31,217.91 = 31,217.91 : x
  2. Step 2: Convert to fraction form
    14,572.41/31,217.91 = 31,217.91/x
  3. Step 3: Cross multiply
    14,572.41x = 31,217.91 × 31,217.91
  4. Step 4: Simplify right side
    14,572.41x = 974,557,670.63
  5. Step 5: Solve for x
    x = 974,557,670.63/14,572.41
  6. Step 6: Final answer
    x = 66,876.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.