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Finding the Third Proportional to 7,335.75 and 9,966.75

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Solution

The third proportional to 7,335.75 and 9,966.75 is: 13,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.75 : 9,966.75 = 9,966.75 : x
  2. Step 2: Convert to fraction form
    7,335.75/9,966.75 = 9,966.75/x
  3. Step 3: Cross multiply
    7,335.75x = 9,966.75 × 9,966.75
  4. Step 4: Simplify right side
    7,335.75x = 99,336,105.56
  5. Step 5: Solve for x
    x = 99,336,105.56/7,335.75
  6. Step 6: Final answer
    x = 13,541.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.