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Finding the Third Proportional to 31,302 and 47,230.50

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Solution

The third proportional to 31,302 and 47,230.50 is: 71,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302 : 47,230.50 = 47,230.50 : x
  2. Step 2: Convert to fraction form
    31,302/47,230.50 = 47,230.50/x
  3. Step 3: Cross multiply
    31,302x = 47,230.50 × 47,230.50
  4. Step 4: Simplify right side
    31,302x = 2,230,720,130.25
  5. Step 5: Solve for x
    x = 2,230,720,130.25/31,302
  6. Step 6: Final answer
    x = 71,264.46

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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.