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Finding the Third Proportional to 1,703.91 and 2,416.31

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Solution

The third proportional to 1,703.91 and 2,416.31 is: 3,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.91 : 2,416.31 = 2,416.31 : x
  2. Step 2: Convert to fraction form
    1,703.91/2,416.31 = 2,416.31/x
  3. Step 3: Cross multiply
    1,703.91x = 2,416.31 × 2,416.31
  4. Step 4: Simplify right side
    1,703.91x = 5,838,566.10
  5. Step 5: Solve for x
    x = 5,838,566.10/1,703.91
  6. Step 6: Final answer
    x = 3,426.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.