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Finding the Third Proportional to 38,302.88 and 57,223.13

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Solution

The third proportional to 38,302.88 and 57,223.13 is: 85,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302.88 : 57,223.13 = 57,223.13 : x
  2. Step 2: Convert to fraction form
    38,302.88/57,223.13 = 57,223.13/x
  3. Step 3: Cross multiply
    38,302.88x = 57,223.13 × 57,223.13
  4. Step 4: Simplify right side
    38,302.88x = 3,274,486,034.77
  5. Step 5: Solve for x
    x = 3,274,486,034.77/38,302.88
  6. Step 6: Final answer
    x = 85,489.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.