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Finding the Third Proportional to 12,349.13 and 17,597.25

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Solution

The third proportional to 12,349.13 and 17,597.25 is: 25,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.13 : 17,597.25 = 17,597.25 : x
  2. Step 2: Convert to fraction form
    12,349.13/17,597.25 = 17,597.25/x
  3. Step 3: Cross multiply
    12,349.13x = 17,597.25 × 17,597.25
  4. Step 4: Simplify right side
    12,349.13x = 309,663,207.56
  5. Step 5: Solve for x
    x = 309,663,207.56/12,349.13
  6. Step 6: Final answer
    x = 25,075.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.