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Finding the Third Proportional to 30,870 and 66,540

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Solution

The third proportional to 30,870 and 66,540 is: 143,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870 : 66,540 = 66,540 : x
  2. Step 2: Convert to fraction form
    30,870/66,540 = 66,540/x
  3. Step 3: Cross multiply
    30,870x = 66,540 × 66,540
  4. Step 4: Simplify right side
    30,870x = 4,427,571,600
  5. Step 5: Solve for x
    x = 4,427,571,600/30,870
  6. Step 6: Final answer
    x = 143,426.36

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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.