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Finding the Third Proportional to 10,901.25 and 17,345.25

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Solution

The third proportional to 10,901.25 and 17,345.25 is: 27,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.25 : 17,345.25 = 17,345.25 : x
  2. Step 2: Convert to fraction form
    10,901.25/17,345.25 = 17,345.25/x
  3. Step 3: Cross multiply
    10,901.25x = 17,345.25 × 17,345.25
  4. Step 4: Simplify right side
    10,901.25x = 300,857,697.56
  5. Step 5: Solve for x
    x = 300,857,697.56/10,901.25
  6. Step 6: Final answer
    x = 27,598.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.