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Finding the Third Proportional to 15,930 and 35,046

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Solution

The third proportional to 15,930 and 35,046 is: 77,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930 : 35,046 = 35,046 : x
  2. Step 2: Convert to fraction form
    15,930/35,046 = 35,046/x
  3. Step 3: Cross multiply
    15,930x = 35,046 × 35,046
  4. Step 4: Simplify right side
    15,930x = 1,228,222,116
  5. Step 5: Solve for x
    x = 1,228,222,116/15,930
  6. Step 6: Final answer
    x = 77,101.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.