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Finding the Third Proportional to 16,207.50 and 34,719

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Solution

The third proportional to 16,207.50 and 34,719 is: 74,373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.50 : 34,719 = 34,719 : x
  2. Step 2: Convert to fraction form
    16,207.50/34,719 = 34,719/x
  3. Step 3: Cross multiply
    16,207.50x = 34,719 × 34,719
  4. Step 4: Simplify right side
    16,207.50x = 1,205,408,961
  5. Step 5: Solve for x
    x = 1,205,408,961/16,207.50
  6. Step 6: Final answer
    x = 74,373.53

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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.