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Finding the Third Proportional to 32,448.94 and 67,483.13

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Solution

The third proportional to 32,448.94 and 67,483.13 is: 140,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.94 : 67,483.13 = 67,483.13 : x
  2. Step 2: Convert to fraction form
    32,448.94/67,483.13 = 67,483.13/x
  3. Step 3: Cross multiply
    32,448.94x = 67,483.13 × 67,483.13
  4. Step 4: Simplify right side
    32,448.94x = 4,553,972,159.77
  5. Step 5: Solve for x
    x = 4,553,972,159.77/32,448.94
  6. Step 6: Final answer
    x = 140,342.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.