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Finding the Third Proportional to 31,408.59 and 48,570.89

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Solution

The third proportional to 31,408.59 and 48,570.89 is: 75,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.59 : 48,570.89 = 48,570.89 : x
  2. Step 2: Convert to fraction form
    31,408.59/48,570.89 = 48,570.89/x
  3. Step 3: Cross multiply
    31,408.59x = 48,570.89 × 48,570.89
  4. Step 4: Simplify right side
    31,408.59x = 2,359,131,416.11
  5. Step 5: Solve for x
    x = 2,359,131,416.11/31,408.59
  6. Step 6: Final answer
    x = 75,111.02

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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.