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Finding the Third Proportional to 32,056 and 49,763

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Solution

The third proportional to 32,056 and 49,763 is: 77,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,056 : 49,763 = 49,763 : x
  2. Step 2: Convert to fraction form
    32,056/49,763 = 49,763/x
  3. Step 3: Cross multiply
    32,056x = 49,763 × 49,763
  4. Step 4: Simplify right side
    32,056x = 2,476,356,169
  5. Step 5: Solve for x
    x = 2,476,356,169/32,056
  6. Step 6: Final answer
    x = 77,250.94

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Why These Related Problems?

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