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Finding the Third Proportional to 15,434 and 33,784

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Solution

The third proportional to 15,434 and 33,784 is: 73,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434 : 33,784 = 33,784 : x
  2. Step 2: Convert to fraction form
    15,434/33,784 = 33,784/x
  3. Step 3: Cross multiply
    15,434x = 33,784 × 33,784
  4. Step 4: Simplify right side
    15,434x = 1,141,358,656
  5. Step 5: Solve for x
    x = 1,141,358,656/15,434
  6. Step 6: Final answer
    x = 73,950.93

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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.