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Finding the Third Proportional to 31,699.88 and 49,058.63

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Solution

The third proportional to 31,699.88 and 49,058.63 is: 75,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.88 : 49,058.63 = 49,058.63 : x
  2. Step 2: Convert to fraction form
    31,699.88/49,058.63 = 49,058.63/x
  3. Step 3: Cross multiply
    31,699.88x = 49,058.63 × 49,058.63
  4. Step 4: Simplify right side
    31,699.88x = 2,406,748,686.89
  5. Step 5: Solve for x
    x = 2,406,748,686.89/31,699.88
  6. Step 6: Final answer
    x = 75,922.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.