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Finding the Third Proportional to 36,260 and 56,031

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Solution

The third proportional to 36,260 and 56,031 is: 86,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,260 : 56,031 = 56,031 : x
  2. Step 2: Convert to fraction form
    36,260/56,031 = 56,031/x
  3. Step 3: Cross multiply
    36,260x = 56,031 × 56,031
  4. Step 4: Simplify right side
    36,260x = 3,139,472,961
  5. Step 5: Solve for x
    x = 3,139,472,961/36,260
  6. Step 6: Final answer
    x = 86,582.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.