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Finding the Third Proportional to 17,666.44 and 25,869.38

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Solution

The third proportional to 17,666.44 and 25,869.38 is: 37,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.44 : 25,869.38 = 25,869.38 : x
  2. Step 2: Convert to fraction form
    17,666.44/25,869.38 = 25,869.38/x
  3. Step 3: Cross multiply
    17,666.44x = 25,869.38 × 25,869.38
  4. Step 4: Simplify right side
    17,666.44x = 669,224,562.89
  5. Step 5: Solve for x
    x = 669,224,562.89/17,666.44
  6. Step 6: Final answer
    x = 37,881.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.