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Finding the Third Proportional to 22,560.19 and 25,840.69

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Solution

The third proportional to 22,560.19 and 25,840.69 is: 29,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,560.19 : 25,840.69 = 25,840.69 : x
  2. Step 2: Convert to fraction form
    22,560.19/25,840.69 = 25,840.69/x
  3. Step 3: Cross multiply
    22,560.19x = 25,840.69 × 25,840.69
  4. Step 4: Simplify right side
    22,560.19x = 667,741,130.47
  5. Step 5: Solve for x
    x = 667,741,130.47/22,560.19
  6. Step 6: Final answer
    x = 29,598.21

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.