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Finding the Third Proportional to 30,006 and 48,334.13

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Solution

The third proportional to 30,006 and 48,334.13 is: 77,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006 : 48,334.13 = 48,334.13 : x
  2. Step 2: Convert to fraction form
    30,006/48,334.13 = 48,334.13/x
  3. Step 3: Cross multiply
    30,006x = 48,334.13 × 48,334.13
  4. Step 4: Simplify right side
    30,006x = 2,336,187,639.52
  5. Step 5: Solve for x
    x = 2,336,187,639.52/30,006
  6. Step 6: Final answer
    x = 77,857.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.