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Finding the Third Proportional to 31,731.75 and 46,615.50

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Solution

The third proportional to 31,731.75 and 46,615.50 is: 68,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.75 : 46,615.50 = 46,615.50 : x
  2. Step 2: Convert to fraction form
    31,731.75/46,615.50 = 46,615.50/x
  3. Step 3: Cross multiply
    31,731.75x = 46,615.50 × 46,615.50
  4. Step 4: Simplify right side
    31,731.75x = 2,173,004,840.25
  5. Step 5: Solve for x
    x = 2,173,004,840.25/31,731.75
  6. Step 6: Final answer
    x = 68,480.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.