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Finding the Third Proportional to 36,080 and 56,613

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Solution

The third proportional to 36,080 and 56,613 is: 88,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,080 : 56,613 = 56,613 : x
  2. Step 2: Convert to fraction form
    36,080/56,613 = 56,613/x
  3. Step 3: Cross multiply
    36,080x = 56,613 × 56,613
  4. Step 4: Simplify right side
    36,080x = 3,205,031,769
  5. Step 5: Solve for x
    x = 3,205,031,769/36,080
  6. Step 6: Final answer
    x = 88,831.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.