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Finding the Third Proportional to 40,581 and 94,851

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Solution

The third proportional to 40,581 and 94,851 is: 221,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,581 : 94,851 = 94,851 : x
  2. Step 2: Convert to fraction form
    40,581/94,851 = 94,851/x
  3. Step 3: Cross multiply
    40,581x = 94,851 × 94,851
  4. Step 4: Simplify right side
    40,581x = 8,996,712,201
  5. Step 5: Solve for x
    x = 8,996,712,201/40,581
  6. Step 6: Final answer
    x = 221,697.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.