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Finding the Third Proportional to 27,776 and 60,289

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Solution

The third proportional to 27,776 and 60,289 is: 130,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776 : 60,289 = 60,289 : x
  2. Step 2: Convert to fraction form
    27,776/60,289 = 60,289/x
  3. Step 3: Cross multiply
    27,776x = 60,289 × 60,289
  4. Step 4: Simplify right side
    27,776x = 3,634,763,521
  5. Step 5: Solve for x
    x = 3,634,763,521/27,776
  6. Step 6: Final answer
    x = 130,859.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.