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Finding the Third Proportional to 49,886.50 and 72,884

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Solution

The third proportional to 49,886.50 and 72,884 is: 106,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,886.50 : 72,884 = 72,884 : x
  2. Step 2: Convert to fraction form
    49,886.50/72,884 = 72,884/x
  3. Step 3: Cross multiply
    49,886.50x = 72,884 × 72,884
  4. Step 4: Simplify right side
    49,886.50x = 5,312,077,456
  5. Step 5: Solve for x
    x = 5,312,077,456/49,886.50
  6. Step 6: Final answer
    x = 106,483.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.