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Finding the Third Proportional to 17,240 and 35,587

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Solution

The third proportional to 17,240 and 35,587 is: 73,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,240 : 35,587 = 35,587 : x
  2. Step 2: Convert to fraction form
    17,240/35,587 = 35,587/x
  3. Step 3: Cross multiply
    17,240x = 35,587 × 35,587
  4. Step 4: Simplify right side
    17,240x = 1,266,434,569
  5. Step 5: Solve for x
    x = 1,266,434,569/17,240
  6. Step 6: Final answer
    x = 73,459.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.