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Finding the Third Proportional to 31,389.50 and 46,541.25

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Solution

The third proportional to 31,389.50 and 46,541.25 is: 69,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,389.50 : 46,541.25 = 46,541.25 : x
  2. Step 2: Convert to fraction form
    31,389.50/46,541.25 = 46,541.25/x
  3. Step 3: Cross multiply
    31,389.50x = 46,541.25 × 46,541.25
  4. Step 4: Simplify right side
    31,389.50x = 2,166,087,951.56
  5. Step 5: Solve for x
    x = 2,166,087,951.56/31,389.50
  6. Step 6: Final answer
    x = 69,006.77

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.