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Finding the Third Proportional to 40,848.47 and 85,438.13

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Solution

The third proportional to 40,848.47 and 85,438.13 is: 178,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,848.47 : 85,438.13 = 85,438.13 : x
  2. Step 2: Convert to fraction form
    40,848.47/85,438.13 = 85,438.13/x
  3. Step 3: Cross multiply
    40,848.47x = 85,438.13 × 85,438.13
  4. Step 4: Simplify right side
    40,848.47x = 7,299,673,203.52
  5. Step 5: Solve for x
    x = 7,299,673,203.52/40,848.47
  6. Step 6: Final answer
    x = 178,701.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.