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Finding the Third Proportional to 42,595.88 and 65,947.92

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Solution

The third proportional to 42,595.88 and 65,947.92 is: 102,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,595.88 : 65,947.92 = 65,947.92 : x
  2. Step 2: Convert to fraction form
    42,595.88/65,947.92 = 65,947.92/x
  3. Step 3: Cross multiply
    42,595.88x = 65,947.92 × 65,947.92
  4. Step 4: Simplify right side
    42,595.88x = 4,349,128,399.63
  5. Step 5: Solve for x
    x = 4,349,128,399.63/42,595.88
  6. Step 6: Final answer
    x = 102,102.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.