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Finding the Third Proportional to 2,016.56 and 2,955.66

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Solution

The third proportional to 2,016.56 and 2,955.66 is: 4,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.56 : 2,955.66 = 2,955.66 : x
  2. Step 2: Convert to fraction form
    2,016.56/2,955.66 = 2,955.66/x
  3. Step 3: Cross multiply
    2,016.56x = 2,955.66 × 2,955.66
  4. Step 4: Simplify right side
    2,016.56x = 8,735,903.87
  5. Step 5: Solve for x
    x = 8,735,903.87/2,016.56
  6. Step 6: Final answer
    x = 4,332.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.