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Finding the Third Proportional to 1,657.87 and 2,587.72

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Solution

The third proportional to 1,657.87 and 2,587.72 is: 4,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.87 : 2,587.72 = 2,587.72 : x
  2. Step 2: Convert to fraction form
    1,657.87/2,587.72 = 2,587.72/x
  3. Step 3: Cross multiply
    1,657.87x = 2,587.72 × 2,587.72
  4. Step 4: Simplify right side
    1,657.87x = 6,696,287.70
  5. Step 5: Solve for x
    x = 6,696,287.70/1,657.87
  6. Step 6: Final answer
    x = 4,039.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.