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Finding the Third Proportional to 1,587.94 and 4,214.95

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Solution

The third proportional to 1,587.94 and 4,214.95 is: 11,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.94 : 4,214.95 = 4,214.95 : x
  2. Step 2: Convert to fraction form
    1,587.94/4,214.95 = 4,214.95/x
  3. Step 3: Cross multiply
    1,587.94x = 4,214.95 × 4,214.95
  4. Step 4: Simplify right side
    1,587.94x = 17,765,829.85
  5. Step 5: Solve for x
    x = 17,765,829.85/1,587.94
  6. Step 6: Final answer
    x = 11,187.99

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.