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Finding the Third Proportional to 15,709 and 33,235

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Solution

The third proportional to 15,709 and 33,235 is: 70,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709 : 33,235 = 33,235 : x
  2. Step 2: Convert to fraction form
    15,709/33,235 = 33,235/x
  3. Step 3: Cross multiply
    15,709x = 33,235 × 33,235
  4. Step 4: Simplify right side
    15,709x = 1,104,565,225
  5. Step 5: Solve for x
    x = 1,104,565,225/15,709
  6. Step 6: Final answer
    x = 70,314.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.