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Finding the Third Proportional to 47,547 and 71,175

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Solution

The third proportional to 47,547 and 71,175 is: 106,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547 : 71,175 = 71,175 : x
  2. Step 2: Convert to fraction form
    47,547/71,175 = 71,175/x
  3. Step 3: Cross multiply
    47,547x = 71,175 × 71,175
  4. Step 4: Simplify right side
    47,547x = 5,065,880,625
  5. Step 5: Solve for x
    x = 5,065,880,625/47,547
  6. Step 6: Final answer
    x = 106,544.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.