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Finding the Third Proportional to 2,580 and 3,957.75

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Solution

The third proportional to 2,580 and 3,957.75 is: 6,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580 : 3,957.75 = 3,957.75 : x
  2. Step 2: Convert to fraction form
    2,580/3,957.75 = 3,957.75/x
  3. Step 3: Cross multiply
    2,580x = 3,957.75 × 3,957.75
  4. Step 4: Simplify right side
    2,580x = 15,663,785.06
  5. Step 5: Solve for x
    x = 15,663,785.06/2,580
  6. Step 6: Final answer
    x = 6,071.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.