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Finding the Third Proportional to 17,617 and 25,948.50

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Solution

The third proportional to 17,617 and 25,948.50 is: 38,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617 : 25,948.50 = 25,948.50 : x
  2. Step 2: Convert to fraction form
    17,617/25,948.50 = 25,948.50/x
  3. Step 3: Cross multiply
    17,617x = 25,948.50 × 25,948.50
  4. Step 4: Simplify right side
    17,617x = 673,324,652.25
  5. Step 5: Solve for x
    x = 673,324,652.25/17,617
  6. Step 6: Final answer
    x = 38,220.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.