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Finding the Third Proportional to 32,249 and 66,776.50

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Solution

The third proportional to 32,249 and 66,776.50 is: 138,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249 : 66,776.50 = 66,776.50 : x
  2. Step 2: Convert to fraction form
    32,249/66,776.50 = 66,776.50/x
  3. Step 3: Cross multiply
    32,249x = 66,776.50 × 66,776.50
  4. Step 4: Simplify right side
    32,249x = 4,459,100,952.25
  5. Step 5: Solve for x
    x = 4,459,100,952.25/32,249
  6. Step 6: Final answer
    x = 138,270.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.