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Finding the Third Proportional to 32,352 and 51,444

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Solution

The third proportional to 32,352 and 51,444 is: 81,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352 : 51,444 = 51,444 : x
  2. Step 2: Convert to fraction form
    32,352/51,444 = 51,444/x
  3. Step 3: Cross multiply
    32,352x = 51,444 × 51,444
  4. Step 4: Simplify right side
    32,352x = 2,646,485,136
  5. Step 5: Solve for x
    x = 2,646,485,136/32,352
  6. Step 6: Final answer
    x = 81,802.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.