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Finding the Third Proportional to 24,142 and 53,468

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Solution

The third proportional to 24,142 and 53,468 is: 118,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142 : 53,468 = 53,468 : x
  2. Step 2: Convert to fraction form
    24,142/53,468 = 53,468/x
  3. Step 3: Cross multiply
    24,142x = 53,468 × 53,468
  4. Step 4: Simplify right side
    24,142x = 2,858,827,024
  5. Step 5: Solve for x
    x = 2,858,827,024/24,142
  6. Step 6: Final answer
    x = 118,417.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.