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Finding the Third Proportional to 46,412 and 70,706

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Solution

The third proportional to 46,412 and 70,706 is: 107,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,412 : 70,706 = 70,706 : x
  2. Step 2: Convert to fraction form
    46,412/70,706 = 70,706/x
  3. Step 3: Cross multiply
    46,412x = 70,706 × 70,706
  4. Step 4: Simplify right side
    46,412x = 4,999,338,436
  5. Step 5: Solve for x
    x = 4,999,338,436/46,412
  6. Step 6: Final answer
    x = 107,716.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.