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Finding the Third Proportional to 870.75 and 1,327.50

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Solution

The third proportional to 870.75 and 1,327.50 is: 2,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.75 : 1,327.50 = 1,327.50 : x
  2. Step 2: Convert to fraction form
    870.75/1,327.50 = 1,327.50/x
  3. Step 3: Cross multiply
    870.75x = 1,327.50 × 1,327.50
  4. Step 4: Simplify right side
    870.75x = 1,762,256.25
  5. Step 5: Solve for x
    x = 1,762,256.25/870.75
  6. Step 6: Final answer
    x = 2,023.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.