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Finding the Third Proportional to 32,052 and 48,648

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Solution

The third proportional to 32,052 and 48,648 is: 73,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052 : 48,648 = 48,648 : x
  2. Step 2: Convert to fraction form
    32,052/48,648 = 48,648/x
  3. Step 3: Cross multiply
    32,052x = 48,648 × 48,648
  4. Step 4: Simplify right side
    32,052x = 2,366,627,904
  5. Step 5: Solve for x
    x = 2,366,627,904/32,052
  6. Step 6: Final answer
    x = 73,837.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.