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Finding the Third Proportional to 40,057.50 and 92,730

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Solution

The third proportional to 40,057.50 and 92,730 is: 214,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,057.50 : 92,730 = 92,730 : x
  2. Step 2: Convert to fraction form
    40,057.50/92,730 = 92,730/x
  3. Step 3: Cross multiply
    40,057.50x = 92,730 × 92,730
  4. Step 4: Simplify right side
    40,057.50x = 8,598,852,900
  5. Step 5: Solve for x
    x = 8,598,852,900/40,057.50
  6. Step 6: Final answer
    x = 214,662.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.