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Finding the Third Proportional to 7,973.75 and 17,459

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Solution

The third proportional to 7,973.75 and 17,459 is: 38,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.75 : 17,459 = 17,459 : x
  2. Step 2: Convert to fraction form
    7,973.75/17,459 = 17,459/x
  3. Step 3: Cross multiply
    7,973.75x = 17,459 × 17,459
  4. Step 4: Simplify right side
    7,973.75x = 304,816,681
  5. Step 5: Solve for x
    x = 304,816,681/7,973.75
  6. Step 6: Final answer
    x = 38,227.52

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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.