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Finding the Third Proportional to 42,555.38 and 64,425.38

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Solution

The third proportional to 42,555.38 and 64,425.38 is: 97,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,555.38 : 64,425.38 = 64,425.38 : x
  2. Step 2: Convert to fraction form
    42,555.38/64,425.38 = 64,425.38/x
  3. Step 3: Cross multiply
    42,555.38x = 64,425.38 × 64,425.38
  4. Step 4: Simplify right side
    42,555.38x = 4,150,628,943.89
  5. Step 5: Solve for x
    x = 4,150,628,943.89/42,555.38
  6. Step 6: Final answer
    x = 97,534.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.