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Finding the Third Proportional to 46,716 and 68,346

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Solution

The third proportional to 46,716 and 68,346 is: 99,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,716 : 68,346 = 68,346 : x
  2. Step 2: Convert to fraction form
    46,716/68,346 = 68,346/x
  3. Step 3: Cross multiply
    46,716x = 68,346 × 68,346
  4. Step 4: Simplify right side
    46,716x = 4,671,175,716
  5. Step 5: Solve for x
    x = 4,671,175,716/46,716
  6. Step 6: Final answer
    x = 99,990.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.