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Finding the Third Proportional to 17,140.50 and 25,641

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Solution

The third proportional to 17,140.50 and 25,641 is: 38,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.50 : 25,641 = 25,641 : x
  2. Step 2: Convert to fraction form
    17,140.50/25,641 = 25,641/x
  3. Step 3: Cross multiply
    17,140.50x = 25,641 × 25,641
  4. Step 4: Simplify right side
    17,140.50x = 657,460,881
  5. Step 5: Solve for x
    x = 657,460,881/17,140.50
  6. Step 6: Final answer
    x = 38,357.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.