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Finding the Third Proportional to 31,893.75 and 48,603.80

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Solution

The third proportional to 31,893.75 and 48,603.80 is: 74,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.75 : 48,603.80 = 48,603.80 : x
  2. Step 2: Convert to fraction form
    31,893.75/48,603.80 = 48,603.80/x
  3. Step 3: Cross multiply
    31,893.75x = 48,603.80 × 48,603.80
  4. Step 4: Simplify right side
    31,893.75x = 2,362,329,070.67
  5. Step 5: Solve for x
    x = 2,362,329,070.67/31,893.75
  6. Step 6: Final answer
    x = 74,068.71

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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.