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Finding the Third Proportional to 30,840 and 67,248.38

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Solution

The third proportional to 30,840 and 67,248.38 is: 146,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840 : 67,248.38 = 67,248.38 : x
  2. Step 2: Convert to fraction form
    30,840/67,248.38 = 67,248.38/x
  3. Step 3: Cross multiply
    30,840x = 67,248.38 × 67,248.38
  4. Step 4: Simplify right side
    30,840x = 4,522,343,940.14
  5. Step 5: Solve for x
    x = 4,522,343,940.14/30,840
  6. Step 6: Final answer
    x = 146,638.91

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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.