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Finding the Third Proportional to 40,848.75 and 89,331.75

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Solution

The third proportional to 40,848.75 and 89,331.75 is: 195,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,848.75 : 89,331.75 = 89,331.75 : x
  2. Step 2: Convert to fraction form
    40,848.75/89,331.75 = 89,331.75/x
  3. Step 3: Cross multiply
    40,848.75x = 89,331.75 × 89,331.75
  4. Step 4: Simplify right side
    40,848.75x = 7,980,161,558.06
  5. Step 5: Solve for x
    x = 7,980,161,558.06/40,848.75
  6. Step 6: Final answer
    x = 195,358.77

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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.