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Finding the Third Proportional to 4,141.81 and 8,901.63

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Solution

The third proportional to 4,141.81 and 8,901.63 is: 19,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.81 : 8,901.63 = 8,901.63 : x
  2. Step 2: Convert to fraction form
    4,141.81/8,901.63 = 8,901.63/x
  3. Step 3: Cross multiply
    4,141.81x = 8,901.63 × 8,901.63
  4. Step 4: Simplify right side
    4,141.81x = 79,238,927.64
  5. Step 5: Solve for x
    x = 79,238,927.64/4,141.81
  6. Step 6: Final answer
    x = 19,131.46

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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.