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Finding the Third Proportional to 27,301 and 59,407

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Solution

The third proportional to 27,301 and 59,407 is: 129,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,301 : 59,407 = 59,407 : x
  2. Step 2: Convert to fraction form
    27,301/59,407 = 59,407/x
  3. Step 3: Cross multiply
    27,301x = 59,407 × 59,407
  4. Step 4: Simplify right side
    27,301x = 3,529,191,649
  5. Step 5: Solve for x
    x = 3,529,191,649/27,301
  6. Step 6: Final answer
    x = 129,269.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.