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Finding the Third Proportional to 14,122 and 30,070

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Solution

The third proportional to 14,122 and 30,070 is: 64,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122 : 30,070 = 30,070 : x
  2. Step 2: Convert to fraction form
    14,122/30,070 = 30,070/x
  3. Step 3: Cross multiply
    14,122x = 30,070 × 30,070
  4. Step 4: Simplify right side
    14,122x = 904,204,900
  5. Step 5: Solve for x
    x = 904,204,900/14,122
  6. Step 6: Final answer
    x = 64,028.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.