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Finding the Third Proportional to 42,801.75 and 63,966.38

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Solution

The third proportional to 42,801.75 and 63,966.38 is: 95,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,801.75 : 63,966.38 = 63,966.38 : x
  2. Step 2: Convert to fraction form
    42,801.75/63,966.38 = 63,966.38/x
  3. Step 3: Cross multiply
    42,801.75x = 63,966.38 × 63,966.38
  4. Step 4: Simplify right side
    42,801.75x = 4,091,697,130.64
  5. Step 5: Solve for x
    x = 4,091,697,130.64/42,801.75
  6. Step 6: Final answer
    x = 95,596.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.