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Finding the Third Proportional to 46,633 and 70,340

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Solution

The third proportional to 46,633 and 70,340 is: 106,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,633 : 70,340 = 70,340 : x
  2. Step 2: Convert to fraction form
    46,633/70,340 = 70,340/x
  3. Step 3: Cross multiply
    46,633x = 70,340 × 70,340
  4. Step 4: Simplify right side
    46,633x = 4,947,715,600
  5. Step 5: Solve for x
    x = 4,947,715,600/46,633
  6. Step 6: Final answer
    x = 106,099.02

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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.