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Finding the Third Proportional to 31,122.50 and 46,706

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Solution

The third proportional to 31,122.50 and 46,706 is: 70,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.50 : 46,706 = 46,706 : x
  2. Step 2: Convert to fraction form
    31,122.50/46,706 = 46,706/x
  3. Step 3: Cross multiply
    31,122.50x = 46,706 × 46,706
  4. Step 4: Simplify right side
    31,122.50x = 2,181,450,436
  5. Step 5: Solve for x
    x = 2,181,450,436/31,122.50
  6. Step 6: Final answer
    x = 70,092.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.