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Finding the Third Proportional to 32,033 and 68,803

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Solution

The third proportional to 32,033 and 68,803 is: 147,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033 : 68,803 = 68,803 : x
  2. Step 2: Convert to fraction form
    32,033/68,803 = 68,803/x
  3. Step 3: Cross multiply
    32,033x = 68,803 × 68,803
  4. Step 4: Simplify right side
    32,033x = 4,733,852,809
  5. Step 5: Solve for x
    x = 4,733,852,809/32,033
  6. Step 6: Final answer
    x = 147,780.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.