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Finding the Third Proportional to 2,298.56 and 4,961.72

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Solution

The third proportional to 2,298.56 and 4,961.72 is: 10,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.56 : 4,961.72 = 4,961.72 : x
  2. Step 2: Convert to fraction form
    2,298.56/4,961.72 = 4,961.72/x
  3. Step 3: Cross multiply
    2,298.56x = 4,961.72 × 4,961.72
  4. Step 4: Simplify right side
    2,298.56x = 24,618,652.95
  5. Step 5: Solve for x
    x = 24,618,652.95/2,298.56
  6. Step 6: Final answer
    x = 10,710.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.