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Finding the Third Proportional to 19,753.88 and 35,127

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Solution

The third proportional to 19,753.88 and 35,127 is: 62,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.88 : 35,127 = 35,127 : x
  2. Step 2: Convert to fraction form
    19,753.88/35,127 = 35,127/x
  3. Step 3: Cross multiply
    19,753.88x = 35,127 × 35,127
  4. Step 4: Simplify right side
    19,753.88x = 1,233,906,129
  5. Step 5: Solve for x
    x = 1,233,906,129/19,753.88
  6. Step 6: Final answer
    x = 62,464.00

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.