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Finding the Third Proportional to 12,570 and 27,118

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Solution

The third proportional to 12,570 and 27,118 is: 58,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570 : 27,118 = 27,118 : x
  2. Step 2: Convert to fraction form
    12,570/27,118 = 27,118/x
  3. Step 3: Cross multiply
    12,570x = 27,118 × 27,118
  4. Step 4: Simplify right side
    12,570x = 735,385,924
  5. Step 5: Solve for x
    x = 735,385,924/12,570
  6. Step 6: Final answer
    x = 58,503.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.