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Finding the Third Proportional to 38,020.75 and 56,719.75

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Solution

The third proportional to 38,020.75 and 56,719.75 is: 84,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,020.75 : 56,719.75 = 56,719.75 : x
  2. Step 2: Convert to fraction form
    38,020.75/56,719.75 = 56,719.75/x
  3. Step 3: Cross multiply
    38,020.75x = 56,719.75 × 56,719.75
  4. Step 4: Simplify right side
    38,020.75x = 3,217,130,040.06
  5. Step 5: Solve for x
    x = 3,217,130,040.06/38,020.75
  6. Step 6: Final answer
    x = 84,615.11

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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.