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Finding the Third Proportional to 24,730 and 53,420

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Solution

The third proportional to 24,730 and 53,420 is: 115,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730 : 53,420 = 53,420 : x
  2. Step 2: Convert to fraction form
    24,730/53,420 = 53,420/x
  3. Step 3: Cross multiply
    24,730x = 53,420 × 53,420
  4. Step 4: Simplify right side
    24,730x = 2,853,696,400
  5. Step 5: Solve for x
    x = 2,853,696,400/24,730
  6. Step 6: Final answer
    x = 115,394.11

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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.