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Finding the Third Proportional to 38,089 and 56,910

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Solution

The third proportional to 38,089 and 56,910 is: 85,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,089 : 56,910 = 56,910 : x
  2. Step 2: Convert to fraction form
    38,089/56,910 = 56,910/x
  3. Step 3: Cross multiply
    38,089x = 56,910 × 56,910
  4. Step 4: Simplify right side
    38,089x = 3,238,748,100
  5. Step 5: Solve for x
    x = 3,238,748,100/38,089
  6. Step 6: Final answer
    x = 85,031.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.