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Finding the Third Proportional to 37,230.75 and 81,023.63

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Solution

The third proportional to 37,230.75 and 81,023.63 is: 176,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,230.75 : 81,023.63 = 81,023.63 : x
  2. Step 2: Convert to fraction form
    37,230.75/81,023.63 = 81,023.63/x
  3. Step 3: Cross multiply
    37,230.75x = 81,023.63 × 81,023.63
  4. Step 4: Simplify right side
    37,230.75x = 6,564,827,808.14
  5. Step 5: Solve for x
    x = 6,564,827,808.14/37,230.75
  6. Step 6: Final answer
    x = 176,328.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.