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Finding the Third Proportional to 36,532 and 56,342

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Solution

The third proportional to 36,532 and 56,342 is: 86,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532 : 56,342 = 56,342 : x
  2. Step 2: Convert to fraction form
    36,532/56,342 = 56,342/x
  3. Step 3: Cross multiply
    36,532x = 56,342 × 56,342
  4. Step 4: Simplify right side
    36,532x = 3,174,420,964
  5. Step 5: Solve for x
    x = 3,174,420,964/36,532
  6. Step 6: Final answer
    x = 86,894.26

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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.