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Finding the Third Proportional to 17,868.38 and 26,267.63

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Solution

The third proportional to 17,868.38 and 26,267.63 is: 38,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868.38 : 26,267.63 = 26,267.63 : x
  2. Step 2: Convert to fraction form
    17,868.38/26,267.63 = 26,267.63/x
  3. Step 3: Cross multiply
    17,868.38x = 26,267.63 × 26,267.63
  4. Step 4: Simplify right side
    17,868.38x = 689,988,123.14
  5. Step 5: Solve for x
    x = 689,988,123.14/17,868.38
  6. Step 6: Final answer
    x = 38,615.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.