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Finding the Third Proportional to 40,581 and 89,044.31

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Solution

The third proportional to 40,581 and 89,044.31 is: 195,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,581 : 89,044.31 = 89,044.31 : x
  2. Step 2: Convert to fraction form
    40,581/89,044.31 = 89,044.31/x
  3. Step 3: Cross multiply
    40,581x = 89,044.31 × 89,044.31
  4. Step 4: Simplify right side
    40,581x = 7,928,889,588.60
  5. Step 5: Solve for x
    x = 7,928,889,588.60/40,581
  6. Step 6: Final answer
    x = 195,384.28

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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.