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Finding the Third Proportional to 1,904.34 and 2,876.77

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Solution

The third proportional to 1,904.34 and 2,876.77 is: 4,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.34 : 2,876.77 = 2,876.77 : x
  2. Step 2: Convert to fraction form
    1,904.34/2,876.77 = 2,876.77/x
  3. Step 3: Cross multiply
    1,904.34x = 2,876.77 × 2,876.77
  4. Step 4: Simplify right side
    1,904.34x = 8,275,780.46
  5. Step 5: Solve for x
    x = 8,275,780.46/1,904.34
  6. Step 6: Final answer
    x = 4,345.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.