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Finding the Third Proportional to 1,627.88 and 2,594.81

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Solution

The third proportional to 1,627.88 and 2,594.81 is: 4,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.88 : 2,594.81 = 2,594.81 : x
  2. Step 2: Convert to fraction form
    1,627.88/2,594.81 = 2,594.81/x
  3. Step 3: Cross multiply
    1,627.88x = 2,594.81 × 2,594.81
  4. Step 4: Simplify right side
    1,627.88x = 6,733,051.91
  5. Step 5: Solve for x
    x = 6,733,051.91/1,627.88
  6. Step 6: Final answer
    x = 4,136.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.