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Finding the Third Proportional to 875.81 and 1,892.11

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Solution

The third proportional to 875.81 and 1,892.11 is: 4,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.81 : 1,892.11 = 1,892.11 : x
  2. Step 2: Convert to fraction form
    875.81/1,892.11 = 1,892.11/x
  3. Step 3: Cross multiply
    875.81x = 1,892.11 × 1,892.11
  4. Step 4: Simplify right side
    875.81x = 3,580,077.89
  5. Step 5: Solve for x
    x = 3,580,077.89/875.81
  6. Step 6: Final answer
    x = 4,087.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.