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Finding the Third Proportional to 36,952 and 70,502

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Solution

The third proportional to 36,952 and 70,502 is: 134,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952 : 70,502 = 70,502 : x
  2. Step 2: Convert to fraction form
    36,952/70,502 = 70,502/x
  3. Step 3: Cross multiply
    36,952x = 70,502 × 70,502
  4. Step 4: Simplify right side
    36,952x = 4,970,532,004
  5. Step 5: Solve for x
    x = 4,970,532,004/36,952
  6. Step 6: Final answer
    x = 134,513.21

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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.