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Finding the Third Proportional to 32,820.19 and 75,795.75

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Solution

The third proportional to 32,820.19 and 75,795.75 is: 175,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.19 : 75,795.75 = 75,795.75 : x
  2. Step 2: Convert to fraction form
    32,820.19/75,795.75 = 75,795.75/x
  3. Step 3: Cross multiply
    32,820.19x = 75,795.75 × 75,795.75
  4. Step 4: Simplify right side
    32,820.19x = 5,744,995,718.06
  5. Step 5: Solve for x
    x = 5,744,995,718.06/32,820.19
  6. Step 6: Final answer
    x = 175,044.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.