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Finding the Third Proportional to 24,499 and 53,672

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Solution

The third proportional to 24,499 and 53,672 is: 117,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499 : 53,672 = 53,672 : x
  2. Step 2: Convert to fraction form
    24,499/53,672 = 53,672/x
  3. Step 3: Cross multiply
    24,499x = 53,672 × 53,672
  4. Step 4: Simplify right side
    24,499x = 2,880,683,584
  5. Step 5: Solve for x
    x = 2,880,683,584/24,499
  6. Step 6: Final answer
    x = 117,583.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.