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Finding the Third Proportional to 32,041 and 70,253

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Solution

The third proportional to 32,041 and 70,253 is: 154,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041 : 70,253 = 70,253 : x
  2. Step 2: Convert to fraction form
    32,041/70,253 = 70,253/x
  3. Step 3: Cross multiply
    32,041x = 70,253 × 70,253
  4. Step 4: Simplify right side
    32,041x = 4,935,484,009
  5. Step 5: Solve for x
    x = 4,935,484,009/32,041
  6. Step 6: Final answer
    x = 154,036.52

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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.