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Finding the Third Proportional to 2,956 and 4,535

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Solution

The third proportional to 2,956 and 4,535 is: 6,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956 : 4,535 = 4,535 : x
  2. Step 2: Convert to fraction form
    2,956/4,535 = 4,535/x
  3. Step 3: Cross multiply
    2,956x = 4,535 × 4,535
  4. Step 4: Simplify right side
    2,956x = 20,566,225
  5. Step 5: Solve for x
    x = 20,566,225/2,956
  6. Step 6: Final answer
    x = 6,957.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.