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Finding the Third Proportional to 6,047.58 and 9,162.28

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Solution

The third proportional to 6,047.58 and 9,162.28 is: 13,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.58 : 9,162.28 = 9,162.28 : x
  2. Step 2: Convert to fraction form
    6,047.58/9,162.28 = 9,162.28/x
  3. Step 3: Cross multiply
    6,047.58x = 9,162.28 × 9,162.28
  4. Step 4: Simplify right side
    6,047.58x = 83,947,397.70
  5. Step 5: Solve for x
    x = 83,947,397.70/6,047.58
  6. Step 6: Final answer
    x = 13,881.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.