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Finding the Third Proportional to 7,269.75 and 9,712.13

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Solution

The third proportional to 7,269.75 and 9,712.13 is: 12,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.75 : 9,712.13 = 9,712.13 : x
  2. Step 2: Convert to fraction form
    7,269.75/9,712.13 = 9,712.13/x
  3. Step 3: Cross multiply
    7,269.75x = 9,712.13 × 9,712.13
  4. Step 4: Simplify right side
    7,269.75x = 94,325,372.02
  5. Step 5: Solve for x
    x = 94,325,372.02/7,269.75
  6. Step 6: Final answer
    x = 12,975.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.