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Finding the Third Proportional to 870.43 and 2,041.77

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Solution

The third proportional to 870.43 and 2,041.77 is: 4,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.43 : 2,041.77 = 2,041.77 : x
  2. Step 2: Convert to fraction form
    870.43/2,041.77 = 2,041.77/x
  3. Step 3: Cross multiply
    870.43x = 2,041.77 × 2,041.77
  4. Step 4: Simplify right side
    870.43x = 4,168,822.82
  5. Step 5: Solve for x
    x = 4,168,822.82/870.43
  6. Step 6: Final answer
    x = 4,789.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.