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Finding the Third Proportional to 32,041 and 70,319

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Solution

The third proportional to 32,041 and 70,319 is: 154,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041 : 70,319 = 70,319 : x
  2. Step 2: Convert to fraction form
    32,041/70,319 = 70,319/x
  3. Step 3: Cross multiply
    32,041x = 70,319 × 70,319
  4. Step 4: Simplify right side
    32,041x = 4,944,761,761
  5. Step 5: Solve for x
    x = 4,944,761,761/32,041
  6. Step 6: Final answer
    x = 154,326.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.