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Finding the Third Proportional to 29,814.75 and 40,348.13

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Solution

The third proportional to 29,814.75 and 40,348.13 is: 54,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814.75 : 40,348.13 = 40,348.13 : x
  2. Step 2: Convert to fraction form
    29,814.75/40,348.13 = 40,348.13/x
  3. Step 3: Cross multiply
    29,814.75x = 40,348.13 × 40,348.13
  4. Step 4: Simplify right side
    29,814.75x = 1,627,971,191.02
  5. Step 5: Solve for x
    x = 1,627,971,191.02/29,814.75
  6. Step 6: Final answer
    x = 54,602.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.