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Finding the Third Proportional to 30,955 and 67,499

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Solution

The third proportional to 30,955 and 67,499 is: 147,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,955 : 67,499 = 67,499 : x
  2. Step 2: Convert to fraction form
    30,955/67,499 = 67,499/x
  3. Step 3: Cross multiply
    30,955x = 67,499 × 67,499
  4. Step 4: Simplify right side
    30,955x = 4,556,115,001
  5. Step 5: Solve for x
    x = 4,556,115,001/30,955
  6. Step 6: Final answer
    x = 147,185.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.