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Finding the Third Proportional to 7,034 and 15,712

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Solution

The third proportional to 7,034 and 15,712 is: 35,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034 : 15,712 = 15,712 : x
  2. Step 2: Convert to fraction form
    7,034/15,712 = 15,712/x
  3. Step 3: Cross multiply
    7,034x = 15,712 × 15,712
  4. Step 4: Simplify right side
    7,034x = 246,866,944
  5. Step 5: Solve for x
    x = 246,866,944/7,034
  6. Step 6: Final answer
    x = 35,096.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.