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Finding the Third Proportional to 23,031.84 and 36,074.11

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Solution

The third proportional to 23,031.84 and 36,074.11 is: 56,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.84 : 36,074.11 = 36,074.11 : x
  2. Step 2: Convert to fraction form
    23,031.84/36,074.11 = 36,074.11/x
  3. Step 3: Cross multiply
    23,031.84x = 36,074.11 × 36,074.11
  4. Step 4: Simplify right side
    23,031.84x = 1,301,341,367.20
  5. Step 5: Solve for x
    x = 1,301,341,367.20/23,031.84
  6. Step 6: Final answer
    x = 56,501.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.