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Finding the Third Proportional to 30,784 and 47,648

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Solution

The third proportional to 30,784 and 47,648 is: 73,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784 : 47,648 = 47,648 : x
  2. Step 2: Convert to fraction form
    30,784/47,648 = 47,648/x
  3. Step 3: Cross multiply
    30,784x = 47,648 × 47,648
  4. Step 4: Simplify right side
    30,784x = 2,270,331,904
  5. Step 5: Solve for x
    x = 2,270,331,904/30,784
  6. Step 6: Final answer
    x = 73,750.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.