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Finding the Third Proportional to 30,498 and 66,154

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Solution

The third proportional to 30,498 and 66,154 is: 143,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498 : 66,154 = 66,154 : x
  2. Step 2: Convert to fraction form
    30,498/66,154 = 66,154/x
  3. Step 3: Cross multiply
    30,498x = 66,154 × 66,154
  4. Step 4: Simplify right side
    30,498x = 4,376,351,716
  5. Step 5: Solve for x
    x = 4,376,351,716/30,498
  6. Step 6: Final answer
    x = 143,496.35

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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.