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Finding the Third Proportional to 31,925.81 and 48,131.72

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Solution

The third proportional to 31,925.81 and 48,131.72 is: 72,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,925.81 : 48,131.72 = 48,131.72 : x
  2. Step 2: Convert to fraction form
    31,925.81/48,131.72 = 48,131.72/x
  3. Step 3: Cross multiply
    31,925.81x = 48,131.72 × 48,131.72
  4. Step 4: Simplify right side
    31,925.81x = 2,316,662,349.83
  5. Step 5: Solve for x
    x = 2,316,662,349.83/31,925.81
  6. Step 6: Final answer
    x = 72,563.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.