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Finding the Third Proportional to 48,648.94 and 65,523.94

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Solution

The third proportional to 48,648.94 and 65,523.94 is: 88,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,648.94 : 65,523.94 = 65,523.94 : x
  2. Step 2: Convert to fraction form
    48,648.94/65,523.94 = 65,523.94/x
  3. Step 3: Cross multiply
    48,648.94x = 65,523.94 × 65,523.94
  4. Step 4: Simplify right side
    48,648.94x = 4,293,386,385.50
  5. Step 5: Solve for x
    x = 4,293,386,385.50/48,648.94
  6. Step 6: Final answer
    x = 88,252.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.