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Finding the Third Proportional to 4,287.56 and 9,116.06

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Solution

The third proportional to 4,287.56 and 9,116.06 is: 19,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.56 : 9,116.06 = 9,116.06 : x
  2. Step 2: Convert to fraction form
    4,287.56/9,116.06 = 9,116.06/x
  3. Step 3: Cross multiply
    4,287.56x = 9,116.06 × 9,116.06
  4. Step 4: Simplify right side
    4,287.56x = 83,102,595.50
  5. Step 5: Solve for x
    x = 83,102,595.50/4,287.56
  6. Step 6: Final answer
    x = 19,382.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.