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Finding the Third Proportional to 38,928.66 and 85,127.06

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Solution

The third proportional to 38,928.66 and 85,127.06 is: 186,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,928.66 : 85,127.06 = 85,127.06 : x
  2. Step 2: Convert to fraction form
    38,928.66/85,127.06 = 85,127.06/x
  3. Step 3: Cross multiply
    38,928.66x = 85,127.06 × 85,127.06
  4. Step 4: Simplify right side
    38,928.66x = 7,246,616,769.88
  5. Step 5: Solve for x
    x = 7,246,616,769.88/38,928.66
  6. Step 6: Final answer
    x = 186,151.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.