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Finding the Third Proportional to 32,422 and 76,335

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Solution

The third proportional to 32,422 and 76,335 is: 179,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,422 : 76,335 = 76,335 : x
  2. Step 2: Convert to fraction form
    32,422/76,335 = 76,335/x
  3. Step 3: Cross multiply
    32,422x = 76,335 × 76,335
  4. Step 4: Simplify right side
    32,422x = 5,827,032,225
  5. Step 5: Solve for x
    x = 5,827,032,225/32,422
  6. Step 6: Final answer
    x = 179,724.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.