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Finding the Third Proportional to 42,947.63 and 64,892.25

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Solution

The third proportional to 42,947.63 and 64,892.25 is: 98,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,947.63 : 64,892.25 = 64,892.25 : x
  2. Step 2: Convert to fraction form
    42,947.63/64,892.25 = 64,892.25/x
  3. Step 3: Cross multiply
    42,947.63x = 64,892.25 × 64,892.25
  4. Step 4: Simplify right side
    42,947.63x = 4,211,004,110.06
  5. Step 5: Solve for x
    x = 4,211,004,110.06/42,947.63
  6. Step 6: Final answer
    x = 98,049.76

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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.