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Finding the Third Proportional to 25,114 and 49,607

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Solution

The third proportional to 25,114 and 49,607 is: 97,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114 : 49,607 = 49,607 : x
  2. Step 2: Convert to fraction form
    25,114/49,607 = 49,607/x
  3. Step 3: Cross multiply
    25,114x = 49,607 × 49,607
  4. Step 4: Simplify right side
    25,114x = 2,460,854,449
  5. Step 5: Solve for x
    x = 2,460,854,449/25,114
  6. Step 6: Final answer
    x = 97,987.36

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.