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Finding the Third Proportional to 2,030.06 and 2,952.84

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Solution

The third proportional to 2,030.06 and 2,952.84 is: 4,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.06 : 2,952.84 = 2,952.84 : x
  2. Step 2: Convert to fraction form
    2,030.06/2,952.84 = 2,952.84/x
  3. Step 3: Cross multiply
    2,030.06x = 2,952.84 × 2,952.84
  4. Step 4: Simplify right side
    2,030.06x = 8,719,286.21
  5. Step 5: Solve for x
    x = 8,719,286.21/2,030.06
  6. Step 6: Final answer
    x = 4,295.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.