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Finding the Third Proportional to 42,590.25 and 65,880

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Solution

The third proportional to 42,590.25 and 65,880 is: 101,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,590.25 : 65,880 = 65,880 : x
  2. Step 2: Convert to fraction form
    42,590.25/65,880 = 65,880/x
  3. Step 3: Cross multiply
    42,590.25x = 65,880 × 65,880
  4. Step 4: Simplify right side
    42,590.25x = 4,340,174,400
  5. Step 5: Solve for x
    x = 4,340,174,400/42,590.25
  6. Step 6: Final answer
    x = 101,905.35

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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.