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Finding the Third Proportional to 33,095.25 and 70,929

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Solution

The third proportional to 33,095.25 and 70,929 is: 152,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,095.25 : 70,929 = 70,929 : x
  2. Step 2: Convert to fraction form
    33,095.25/70,929 = 70,929/x
  3. Step 3: Cross multiply
    33,095.25x = 70,929 × 70,929
  4. Step 4: Simplify right side
    33,095.25x = 5,030,923,041
  5. Step 5: Solve for x
    x = 5,030,923,041/33,095.25
  6. Step 6: Final answer
    x = 152,013.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.