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Finding the Third Proportional to 39,141 and 84,515.63

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Solution

The third proportional to 39,141 and 84,515.63 is: 182,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,141 : 84,515.63 = 84,515.63 : x
  2. Step 2: Convert to fraction form
    39,141/84,515.63 = 84,515.63/x
  3. Step 3: Cross multiply
    39,141x = 84,515.63 × 84,515.63
  4. Step 4: Simplify right side
    39,141x = 7,142,890,869.14
  5. Step 5: Solve for x
    x = 7,142,890,869.14/39,141
  6. Step 6: Final answer
    x = 182,491.27

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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.