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Finding the Third Proportional to 15,913.13 and 33,426

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Solution

The third proportional to 15,913.13 and 33,426 is: 70,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.13 : 33,426 = 33,426 : x
  2. Step 2: Convert to fraction form
    15,913.13/33,426 = 33,426/x
  3. Step 3: Cross multiply
    15,913.13x = 33,426 × 33,426
  4. Step 4: Simplify right side
    15,913.13x = 1,117,297,476
  5. Step 5: Solve for x
    x = 1,117,297,476/15,913.13
  6. Step 6: Final answer
    x = 70,212.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.