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Finding the Third Proportional to 32,465 and 43,351

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Solution

The third proportional to 32,465 and 43,351 is: 57,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465 : 43,351 = 43,351 : x
  2. Step 2: Convert to fraction form
    32,465/43,351 = 43,351/x
  3. Step 3: Cross multiply
    32,465x = 43,351 × 43,351
  4. Step 4: Simplify right side
    32,465x = 1,879,309,201
  5. Step 5: Solve for x
    x = 1,879,309,201/32,465
  6. Step 6: Final answer
    x = 57,887.24

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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.