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Finding the Third Proportional to 30,442 and 66,020

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Solution

The third proportional to 30,442 and 66,020 is: 143,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442 : 66,020 = 66,020 : x
  2. Step 2: Convert to fraction form
    30,442/66,020 = 66,020/x
  3. Step 3: Cross multiply
    30,442x = 66,020 × 66,020
  4. Step 4: Simplify right side
    30,442x = 4,358,640,400
  5. Step 5: Solve for x
    x = 4,358,640,400/30,442
  6. Step 6: Final answer
    x = 143,178.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.