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Finding the Third Proportional to 46,938 and 70,806

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Solution

The third proportional to 46,938 and 70,806 is: 106,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,938 : 70,806 = 70,806 : x
  2. Step 2: Convert to fraction form
    46,938/70,806 = 70,806/x
  3. Step 3: Cross multiply
    46,938x = 70,806 × 70,806
  4. Step 4: Simplify right side
    46,938x = 5,013,489,636
  5. Step 5: Solve for x
    x = 5,013,489,636/46,938
  6. Step 6: Final answer
    x = 106,810.89

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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.