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Finding the Third Proportional to 2,826.47 and 4,155.03

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Solution

The third proportional to 2,826.47 and 4,155.03 is: 6,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.47 : 4,155.03 = 4,155.03 : x
  2. Step 2: Convert to fraction form
    2,826.47/4,155.03 = 4,155.03/x
  3. Step 3: Cross multiply
    2,826.47x = 4,155.03 × 4,155.03
  4. Step 4: Simplify right side
    2,826.47x = 17,264,268.46
  5. Step 5: Solve for x
    x = 17,264,268.46/2,826.47
  6. Step 6: Final answer
    x = 6,108.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.