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Finding the Third Proportional to 32,365 and 66,297

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Solution

The third proportional to 32,365 and 66,297 is: 135,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,365 : 66,297 = 66,297 : x
  2. Step 2: Convert to fraction form
    32,365/66,297 = 66,297/x
  3. Step 3: Cross multiply
    32,365x = 66,297 × 66,297
  4. Step 4: Simplify right side
    32,365x = 4,395,292,209
  5. Step 5: Solve for x
    x = 4,395,292,209/32,365
  6. Step 6: Final answer
    x = 135,803.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.