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Finding the Third Proportional to 17,528 and 37,973

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Solution

The third proportional to 17,528 and 37,973 is: 82,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,528 : 37,973 = 37,973 : x
  2. Step 2: Convert to fraction form
    17,528/37,973 = 37,973/x
  3. Step 3: Cross multiply
    17,528x = 37,973 × 37,973
  4. Step 4: Simplify right side
    17,528x = 1,441,948,729
  5. Step 5: Solve for x
    x = 1,441,948,729/17,528
  6. Step 6: Final answer
    x = 82,265.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.