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Finding the Third Proportional to 2,886.50 and 4,127

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Solution

The third proportional to 2,886.50 and 4,127 is: 5,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.50 : 4,127 = 4,127 : x
  2. Step 2: Convert to fraction form
    2,886.50/4,127 = 4,127/x
  3. Step 3: Cross multiply
    2,886.50x = 4,127 × 4,127
  4. Step 4: Simplify right side
    2,886.50x = 17,032,129
  5. Step 5: Solve for x
    x = 17,032,129/2,886.50
  6. Step 6: Final answer
    x = 5,900.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.