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Finding the Third Proportional to 42,881.25 and 65,138.63

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Solution

The third proportional to 42,881.25 and 65,138.63 is: 98,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,881.25 : 65,138.63 = 65,138.63 : x
  2. Step 2: Convert to fraction form
    42,881.25/65,138.63 = 65,138.63/x
  3. Step 3: Cross multiply
    42,881.25x = 65,138.63 × 65,138.63
  4. Step 4: Simplify right side
    42,881.25x = 4,243,040,466.89
  5. Step 5: Solve for x
    x = 4,243,040,466.89/42,881.25
  6. Step 6: Final answer
    x = 98,948.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.