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Finding the Third Proportional to 39,133.50 and 84,648

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Solution

The third proportional to 39,133.50 and 84,648 is: 183,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,133.50 : 84,648 = 84,648 : x
  2. Step 2: Convert to fraction form
    39,133.50/84,648 = 84,648/x
  3. Step 3: Cross multiply
    39,133.50x = 84,648 × 84,648
  4. Step 4: Simplify right side
    39,133.50x = 7,165,283,904
  5. Step 5: Solve for x
    x = 7,165,283,904/39,133.50
  6. Step 6: Final answer
    x = 183,098.47

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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.