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Finding the Third Proportional to 14,570 and 31,217

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Solution

The third proportional to 14,570 and 31,217 is: 66,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570 : 31,217 = 31,217 : x
  2. Step 2: Convert to fraction form
    14,570/31,217 = 31,217/x
  3. Step 3: Cross multiply
    14,570x = 31,217 × 31,217
  4. Step 4: Simplify right side
    14,570x = 974,501,089
  5. Step 5: Solve for x
    x = 974,501,089/14,570
  6. Step 6: Final answer
    x = 66,884.08

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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.