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Finding the Third Proportional to 24,534 and 53,362

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Solution

The third proportional to 24,534 and 53,362 is: 116,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 53,362 = 53,362 : x
  2. Step 2: Convert to fraction form
    24,534/53,362 = 53,362/x
  3. Step 3: Cross multiply
    24,534x = 53,362 × 53,362
  4. Step 4: Simplify right side
    24,534x = 2,847,503,044
  5. Step 5: Solve for x
    x = 2,847,503,044/24,534
  6. Step 6: Final answer
    x = 116,063.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.