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Finding the Third Proportional to 32,291.50 and 43,395

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Solution

The third proportional to 32,291.50 and 43,395 is: 58,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,291.50 : 43,395 = 43,395 : x
  2. Step 2: Convert to fraction form
    32,291.50/43,395 = 43,395/x
  3. Step 3: Cross multiply
    32,291.50x = 43,395 × 43,395
  4. Step 4: Simplify right side
    32,291.50x = 1,883,126,025
  5. Step 5: Solve for x
    x = 1,883,126,025/32,291.50
  6. Step 6: Final answer
    x = 58,316.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.