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Finding the Third Proportional to 19,714 and 43,070

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Solution

The third proportional to 19,714 and 43,070 is: 94,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714 : 43,070 = 43,070 : x
  2. Step 2: Convert to fraction form
    19,714/43,070 = 43,070/x
  3. Step 3: Cross multiply
    19,714x = 43,070 × 43,070
  4. Step 4: Simplify right side
    19,714x = 1,855,024,900
  5. Step 5: Solve for x
    x = 1,855,024,900/19,714
  6. Step 6: Final answer
    x = 94,096.83

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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.