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Finding the Third Proportional to 15,713.25 and 34,191.75

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Solution

The third proportional to 15,713.25 and 34,191.75 is: 74,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.25 : 34,191.75 = 34,191.75 : x
  2. Step 2: Convert to fraction form
    15,713.25/34,191.75 = 34,191.75/x
  3. Step 3: Cross multiply
    15,713.25x = 34,191.75 × 34,191.75
  4. Step 4: Simplify right side
    15,713.25x = 1,169,075,768.06
  5. Step 5: Solve for x
    x = 1,169,075,768.06/15,713.25
  6. Step 6: Final answer
    x = 74,400.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.