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Finding the Third Proportional to 46,484 and 70,163

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Solution

The third proportional to 46,484 and 70,163 is: 105,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,484 : 70,163 = 70,163 : x
  2. Step 2: Convert to fraction form
    46,484/70,163 = 70,163/x
  3. Step 3: Cross multiply
    46,484x = 70,163 × 70,163
  4. Step 4: Simplify right side
    46,484x = 4,922,846,569
  5. Step 5: Solve for x
    x = 4,922,846,569/46,484
  6. Step 6: Final answer
    x = 105,904.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.