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Finding the Third Proportional to 24,502 and 53,674

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Solution

The third proportional to 24,502 and 53,674 is: 117,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502 : 53,674 = 53,674 : x
  2. Step 2: Convert to fraction form
    24,502/53,674 = 53,674/x
  3. Step 3: Cross multiply
    24,502x = 53,674 × 53,674
  4. Step 4: Simplify right side
    24,502x = 2,880,898,276
  5. Step 5: Solve for x
    x = 2,880,898,276/24,502
  6. Step 6: Final answer
    x = 117,578.09

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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.