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Finding the Third Proportional to 25,557 and 55,614

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Solution

The third proportional to 25,557 and 55,614 is: 121,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,557 : 55,614 = 55,614 : x
  2. Step 2: Convert to fraction form
    25,557/55,614 = 55,614/x
  3. Step 3: Cross multiply
    25,557x = 55,614 × 55,614
  4. Step 4: Simplify right side
    25,557x = 3,092,916,996
  5. Step 5: Solve for x
    x = 3,092,916,996/25,557
  6. Step 6: Final answer
    x = 121,020.35

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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.