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Finding the Third Proportional to 35,265.38 and 51,770.39

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Solution

The third proportional to 35,265.38 and 51,770.39 is: 76,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,265.38 : 51,770.39 = 51,770.39 : x
  2. Step 2: Convert to fraction form
    35,265.38/51,770.39 = 51,770.39/x
  3. Step 3: Cross multiply
    35,265.38x = 51,770.39 × 51,770.39
  4. Step 4: Simplify right side
    35,265.38x = 2,680,173,345.47
  5. Step 5: Solve for x
    x = 2,680,173,345.47/35,265.38
  6. Step 6: Final answer
    x = 76,000.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.