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Finding the Third Proportional to 17,752 and 24,681

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Solution

The third proportional to 17,752 and 24,681 is: 34,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752 : 24,681 = 24,681 : x
  2. Step 2: Convert to fraction form
    17,752/24,681 = 24,681/x
  3. Step 3: Cross multiply
    17,752x = 24,681 × 24,681
  4. Step 4: Simplify right side
    17,752x = 609,151,761
  5. Step 5: Solve for x
    x = 609,151,761/17,752
  6. Step 6: Final answer
    x = 34,314.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.