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Finding the Third Proportional to 3,350 and 4,547

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Solution

The third proportional to 3,350 and 4,547 is: 6,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,350 : 4,547 = 4,547 : x
  2. Step 2: Convert to fraction form
    3,350/4,547 = 4,547/x
  3. Step 3: Cross multiply
    3,350x = 4,547 × 4,547
  4. Step 4: Simplify right side
    3,350x = 20,675,209
  5. Step 5: Solve for x
    x = 20,675,209/3,350
  6. Step 6: Final answer
    x = 6,171.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.