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Finding the Third Proportional to 46,022 and 70,715

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Solution

The third proportional to 46,022 and 70,715 is: 108,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022 : 70,715 = 70,715 : x
  2. Step 2: Convert to fraction form
    46,022/70,715 = 70,715/x
  3. Step 3: Cross multiply
    46,022x = 70,715 × 70,715
  4. Step 4: Simplify right side
    46,022x = 5,000,611,225
  5. Step 5: Solve for x
    x = 5,000,611,225/46,022
  6. Step 6: Final answer
    x = 108,656.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.