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Finding the Third Proportional to 16,368.75 and 35,127

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Solution

The third proportional to 16,368.75 and 35,127 is: 75,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,368.75 : 35,127 = 35,127 : x
  2. Step 2: Convert to fraction form
    16,368.75/35,127 = 35,127/x
  3. Step 3: Cross multiply
    16,368.75x = 35,127 × 35,127
  4. Step 4: Simplify right side
    16,368.75x = 1,233,906,129
  5. Step 5: Solve for x
    x = 1,233,906,129/16,368.75
  6. Step 6: Final answer
    x = 75,381.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.