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Finding the Third Proportional to 24,774 and 53,436

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Solution

The third proportional to 24,774 and 53,436 is: 115,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774 : 53,436 = 53,436 : x
  2. Step 2: Convert to fraction form
    24,774/53,436 = 53,436/x
  3. Step 3: Cross multiply
    24,774x = 53,436 × 53,436
  4. Step 4: Simplify right side
    24,774x = 2,855,406,096
  5. Step 5: Solve for x
    x = 2,855,406,096/24,774
  6. Step 6: Final answer
    x = 115,258.18

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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.