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Finding the Third Proportional to 51,264 and 56,731.50

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Solution

The third proportional to 51,264 and 56,731.50 is: 62,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,264 : 56,731.50 = 56,731.50 : x
  2. Step 2: Convert to fraction form
    51,264/56,731.50 = 56,731.50/x
  3. Step 3: Cross multiply
    51,264x = 56,731.50 × 56,731.50
  4. Step 4: Simplify right side
    51,264x = 3,218,463,092.25
  5. Step 5: Solve for x
    x = 3,218,463,092.25/51,264
  6. Step 6: Final answer
    x = 62,782.13

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.