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Finding the Third Proportional to 32,520 and 69,648

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Solution

The third proportional to 32,520 and 69,648 is: 149,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,520 : 69,648 = 69,648 : x
  2. Step 2: Convert to fraction form
    32,520/69,648 = 69,648/x
  3. Step 3: Cross multiply
    32,520x = 69,648 × 69,648
  4. Step 4: Simplify right side
    32,520x = 4,850,843,904
  5. Step 5: Solve for x
    x = 4,850,843,904/32,520
  6. Step 6: Final answer
    x = 149,164.94

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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.