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Finding the Third Proportional to 32,959.50 and 73,038

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Solution

The third proportional to 32,959.50 and 73,038 is: 161,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.50 : 73,038 = 73,038 : x
  2. Step 2: Convert to fraction form
    32,959.50/73,038 = 73,038/x
  3. Step 3: Cross multiply
    32,959.50x = 73,038 × 73,038
  4. Step 4: Simplify right side
    32,959.50x = 5,334,549,444
  5. Step 5: Solve for x
    x = 5,334,549,444/32,959.50
  6. Step 6: Final answer
    x = 161,851.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.