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Finding the Third Proportional to 17,107 and 25,545

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Solution

The third proportional to 17,107 and 25,545 is: 38,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107 : 25,545 = 25,545 : x
  2. Step 2: Convert to fraction form
    17,107/25,545 = 25,545/x
  3. Step 3: Cross multiply
    17,107x = 25,545 × 25,545
  4. Step 4: Simplify right side
    17,107x = 652,547,025
  5. Step 5: Solve for x
    x = 652,547,025/17,107
  6. Step 6: Final answer
    x = 38,145.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.