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Finding the Third Proportional to 4,871.81 and 10,440.56

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Solution

The third proportional to 4,871.81 and 10,440.56 is: 22,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.81 : 10,440.56 = 10,440.56 : x
  2. Step 2: Convert to fraction form
    4,871.81/10,440.56 = 10,440.56/x
  3. Step 3: Cross multiply
    4,871.81x = 10,440.56 × 10,440.56
  4. Step 4: Simplify right side
    4,871.81x = 109,005,345.32
  5. Step 5: Solve for x
    x = 109,005,345.32/4,871.81
  6. Step 6: Final answer
    x = 22,374.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.