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Finding the Third Proportional to 15,145.73 and 31,026.16

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Solution

The third proportional to 15,145.73 and 31,026.16 is: 63,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,145.73 : 31,026.16 = 31,026.16 : x
  2. Step 2: Convert to fraction form
    15,145.73/31,026.16 = 31,026.16/x
  3. Step 3: Cross multiply
    15,145.73x = 31,026.16 × 31,026.16
  4. Step 4: Simplify right side
    15,145.73x = 962,622,856.43
  5. Step 5: Solve for x
    x = 962,622,856.43/15,145.73
  6. Step 6: Final answer
    x = 63,557.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.