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Finding the Third Proportional to 42,152.63 and 63,507.38

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Solution

The third proportional to 42,152.63 and 63,507.38 is: 95,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,152.63 : 63,507.38 = 63,507.38 : x
  2. Step 2: Convert to fraction form
    42,152.63/63,507.38 = 63,507.38/x
  3. Step 3: Cross multiply
    42,152.63x = 63,507.38 × 63,507.38
  4. Step 4: Simplify right side
    42,152.63x = 4,033,186,679.39
  5. Step 5: Solve for x
    x = 4,033,186,679.39/42,152.63
  6. Step 6: Final answer
    x = 95,680.56

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