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Finding the Third Proportional to 30,893 and 66,160

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Solution

The third proportional to 30,893 and 66,160 is: 141,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893 : 66,160 = 66,160 : x
  2. Step 2: Convert to fraction form
    30,893/66,160 = 66,160/x
  3. Step 3: Cross multiply
    30,893x = 66,160 × 66,160
  4. Step 4: Simplify right side
    30,893x = 4,377,145,600
  5. Step 5: Solve for x
    x = 4,377,145,600/30,893
  6. Step 6: Final answer
    x = 141,687.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.