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Finding the Third Proportional to 15,784 and 34,862

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Solution

The third proportional to 15,784 and 34,862 is: 76,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784 : 34,862 = 34,862 : x
  2. Step 2: Convert to fraction form
    15,784/34,862 = 34,862/x
  3. Step 3: Cross multiply
    15,784x = 34,862 × 34,862
  4. Step 4: Simplify right side
    15,784x = 1,215,359,044
  5. Step 5: Solve for x
    x = 1,215,359,044/15,784
  6. Step 6: Final answer
    x = 76,999.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.