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Finding the Third Proportional to 1,864.69 and 2,886.05

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Solution

The third proportional to 1,864.69 and 2,886.05 is: 4,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.69 : 2,886.05 = 2,886.05 : x
  2. Step 2: Convert to fraction form
    1,864.69/2,886.05 = 2,886.05/x
  3. Step 3: Cross multiply
    1,864.69x = 2,886.05 × 2,886.05
  4. Step 4: Simplify right side
    1,864.69x = 8,329,266.56
  5. Step 5: Solve for x
    x = 8,329,266.56/1,864.69
  6. Step 6: Final answer
    x = 4,466.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.