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Finding the Third Proportional to 15,712.31 and 35,534.53

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Solution

The third proportional to 15,712.31 and 35,534.53 is: 80,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.31 : 35,534.53 = 35,534.53 : x
  2. Step 2: Convert to fraction form
    15,712.31/35,534.53 = 35,534.53/x
  3. Step 3: Cross multiply
    15,712.31x = 35,534.53 × 35,534.53
  4. Step 4: Simplify right side
    15,712.31x = 1,262,702,911.16
  5. Step 5: Solve for x
    x = 1,262,702,911.16/15,712.31
  6. Step 6: Final answer
    x = 80,363.91

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.