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Finding the Third Proportional to 36,960 and 70,518

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Solution

The third proportional to 36,960 and 70,518 is: 134,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 70,518 = 70,518 : x
  2. Step 2: Convert to fraction form
    36,960/70,518 = 70,518/x
  3. Step 3: Cross multiply
    36,960x = 70,518 × 70,518
  4. Step 4: Simplify right side
    36,960x = 4,972,788,324
  5. Step 5: Solve for x
    x = 4,972,788,324/36,960
  6. Step 6: Final answer
    x = 134,545.14

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.