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Finding the Third Proportional to 876.60 and 1,885.62

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Solution

The third proportional to 876.60 and 1,885.62 is: 4,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.60 : 1,885.62 = 1,885.62 : x
  2. Step 2: Convert to fraction form
    876.60/1,885.62 = 1,885.62/x
  3. Step 3: Cross multiply
    876.60x = 1,885.62 × 1,885.62
  4. Step 4: Simplify right side
    876.60x = 3,555,574.27
  5. Step 5: Solve for x
    x = 3,555,574.27/876.60
  6. Step 6: Final answer
    x = 4,056.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.