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Finding the Third Proportional to 24,260 and 53,281

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Solution

The third proportional to 24,260 and 53,281 is: 117,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,260 : 53,281 = 53,281 : x
  2. Step 2: Convert to fraction form
    24,260/53,281 = 53,281/x
  3. Step 3: Cross multiply
    24,260x = 53,281 × 53,281
  4. Step 4: Simplify right side
    24,260x = 2,838,864,961
  5. Step 5: Solve for x
    x = 2,838,864,961/24,260
  6. Step 6: Final answer
    x = 117,018.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.