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Finding the Third Proportional to 27,228 and 59,559

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Solution

The third proportional to 27,228 and 59,559 is: 130,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228 : 59,559 = 59,559 : x
  2. Step 2: Convert to fraction form
    27,228/59,559 = 59,559/x
  3. Step 3: Cross multiply
    27,228x = 59,559 × 59,559
  4. Step 4: Simplify right side
    27,228x = 3,547,274,481
  5. Step 5: Solve for x
    x = 3,547,274,481/27,228
  6. Step 6: Final answer
    x = 130,280.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.