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Finding the Third Proportional to 24,550 and 53,020

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Solution

The third proportional to 24,550 and 53,020 is: 114,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,550 : 53,020 = 53,020 : x
  2. Step 2: Convert to fraction form
    24,550/53,020 = 53,020/x
  3. Step 3: Cross multiply
    24,550x = 53,020 × 53,020
  4. Step 4: Simplify right side
    24,550x = 2,811,120,400
  5. Step 5: Solve for x
    x = 2,811,120,400/24,550
  6. Step 6: Final answer
    x = 114,505.92

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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.