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Finding the Third Proportional to 13,002.88 and 28,079.75

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Solution

The third proportional to 13,002.88 and 28,079.75 is: 60,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.88 : 28,079.75 = 28,079.75 : x
  2. Step 2: Convert to fraction form
    13,002.88/28,079.75 = 28,079.75/x
  3. Step 3: Cross multiply
    13,002.88x = 28,079.75 × 28,079.75
  4. Step 4: Simplify right side
    13,002.88x = 788,472,360.06
  5. Step 5: Solve for x
    x = 788,472,360.06/13,002.88
  6. Step 6: Final answer
    x = 60,638.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.