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Finding the Third Proportional to 14,765.63 and 32,781.38

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Solution

The third proportional to 14,765.63 and 32,781.38 is: 72,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.63 : 32,781.38 = 32,781.38 : x
  2. Step 2: Convert to fraction form
    14,765.63/32,781.38 = 32,781.38/x
  3. Step 3: Cross multiply
    14,765.63x = 32,781.38 × 32,781.38
  4. Step 4: Simplify right side
    14,765.63x = 1,074,618,546.89
  5. Step 5: Solve for x
    x = 1,074,618,546.89/14,765.63
  6. Step 6: Final answer
    x = 72,778.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.