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Finding the Third Proportional to 36,632 and 70,346

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Solution

The third proportional to 36,632 and 70,346 is: 135,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,632 : 70,346 = 70,346 : x
  2. Step 2: Convert to fraction form
    36,632/70,346 = 70,346/x
  3. Step 3: Cross multiply
    36,632x = 70,346 × 70,346
  4. Step 4: Simplify right side
    36,632x = 4,948,559,716
  5. Step 5: Solve for x
    x = 4,948,559,716/36,632
  6. Step 6: Final answer
    x = 135,088.44

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.