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Finding the Third Proportional to 1,415.88 and 3,036.87

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Solution

The third proportional to 1,415.88 and 3,036.87 is: 6,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.88 : 3,036.87 = 3,036.87 : x
  2. Step 2: Convert to fraction form
    1,415.88/3,036.87 = 3,036.87/x
  3. Step 3: Cross multiply
    1,415.88x = 3,036.87 × 3,036.87
  4. Step 4: Simplify right side
    1,415.88x = 9,222,562.31
  5. Step 5: Solve for x
    x = 9,222,562.31/1,415.88
  6. Step 6: Final answer
    x = 6,513.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.