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Finding the Third Proportional to 17,501 and 38,557

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Solution

The third proportional to 17,501 and 38,557 is: 84,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,501 : 38,557 = 38,557 : x
  2. Step 2: Convert to fraction form
    17,501/38,557 = 38,557/x
  3. Step 3: Cross multiply
    17,501x = 38,557 × 38,557
  4. Step 4: Simplify right side
    17,501x = 1,486,642,249
  5. Step 5: Solve for x
    x = 1,486,642,249/17,501
  6. Step 6: Final answer
    x = 84,946.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.