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Finding the Third Proportional to 38,099 and 58,607

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Solution

The third proportional to 38,099 and 58,607 is: 90,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099 : 58,607 = 58,607 : x
  2. Step 2: Convert to fraction form
    38,099/58,607 = 58,607/x
  3. Step 3: Cross multiply
    38,099x = 58,607 × 58,607
  4. Step 4: Simplify right side
    38,099x = 3,434,780,449
  5. Step 5: Solve for x
    x = 3,434,780,449/38,099
  6. Step 6: Final answer
    x = 90,154.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.