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Finding the Third Proportional to 15,714 and 34,202.25

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Solution

The third proportional to 15,714 and 34,202.25 is: 74,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 34,202.25 = 34,202.25 : x
  2. Step 2: Convert to fraction form
    15,714/34,202.25 = 34,202.25/x
  3. Step 3: Cross multiply
    15,714x = 34,202.25 × 34,202.25
  4. Step 4: Simplify right side
    15,714x = 1,169,793,905.06
  5. Step 5: Solve for x
    x = 1,169,793,905.06/15,714
  6. Step 6: Final answer
    x = 74,442.78

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1.5x scale

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.