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Finding the Third Proportional to 1,913.49 and 2,899.00

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Solution

The third proportional to 1,913.49 and 2,899.00 is: 4,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.49 : 2,899.00 = 2,899.00 : x
  2. Step 2: Convert to fraction form
    1,913.49/2,899.00 = 2,899.00/x
  3. Step 3: Cross multiply
    1,913.49x = 2,899.00 × 2,899.00
  4. Step 4: Simplify right side
    1,913.49x = 8,404,218.69
  5. Step 5: Solve for x
    x = 8,404,218.69/1,913.49
  6. Step 6: Final answer
    x = 4,392.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.