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Finding the Third Proportional to 30,810 and 49,603.31

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Solution

The third proportional to 30,810 and 49,603.31 is: 79,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810 : 49,603.31 = 49,603.31 : x
  2. Step 2: Convert to fraction form
    30,810/49,603.31 = 49,603.31/x
  3. Step 3: Cross multiply
    30,810x = 49,603.31 × 49,603.31
  4. Step 4: Simplify right side
    30,810x = 2,460,488,610.97
  5. Step 5: Solve for x
    x = 2,460,488,610.97/30,810
  6. Step 6: Final answer
    x = 79,860.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.