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Finding the Third Proportional to 1,709.65 and 2,444.77

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Solution

The third proportional to 1,709.65 and 2,444.77 is: 3,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.65 : 2,444.77 = 2,444.77 : x
  2. Step 2: Convert to fraction form
    1,709.65/2,444.77 = 2,444.77/x
  3. Step 3: Cross multiply
    1,709.65x = 2,444.77 × 2,444.77
  4. Step 4: Simplify right side
    1,709.65x = 5,976,878.96
  5. Step 5: Solve for x
    x = 5,976,878.96/1,709.65
  6. Step 6: Final answer
    x = 3,495.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.