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Finding the Third Proportional to 24,715 and 53,289

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Solution

The third proportional to 24,715 and 53,289 is: 114,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,715 : 53,289 = 53,289 : x
  2. Step 2: Convert to fraction form
    24,715/53,289 = 53,289/x
  3. Step 3: Cross multiply
    24,715x = 53,289 × 53,289
  4. Step 4: Simplify right side
    24,715x = 2,839,717,521
  5. Step 5: Solve for x
    x = 2,839,717,521/24,715
  6. Step 6: Final answer
    x = 114,898.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.