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Finding the Third Proportional to 875.81 and 1,924.31

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Solution

The third proportional to 875.81 and 1,924.31 is: 4,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.81 : 1,924.31 = 1,924.31 : x
  2. Step 2: Convert to fraction form
    875.81/1,924.31 = 1,924.31/x
  3. Step 3: Cross multiply
    875.81x = 1,924.31 × 1,924.31
  4. Step 4: Simplify right side
    875.81x = 3,702,978.60
  5. Step 5: Solve for x
    x = 3,702,978.60/875.81
  6. Step 6: Final answer
    x = 4,228.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.