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Finding the Third Proportional to 1,594.69 and 2,461.32

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Solution

The third proportional to 1,594.69 and 2,461.32 is: 3,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.69 : 2,461.32 = 2,461.32 : x
  2. Step 2: Convert to fraction form
    1,594.69/2,461.32 = 2,461.32/x
  3. Step 3: Cross multiply
    1,594.69x = 2,461.32 × 2,461.32
  4. Step 4: Simplify right side
    1,594.69x = 6,058,116.91
  5. Step 5: Solve for x
    x = 6,058,116.91/1,594.69
  6. Step 6: Final answer
    x = 3,798.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.