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Finding the Third Proportional to 38,784.50 and 62,226

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Solution

The third proportional to 38,784.50 and 62,226 is: 99,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,784.50 : 62,226 = 62,226 : x
  2. Step 2: Convert to fraction form
    38,784.50/62,226 = 62,226/x
  3. Step 3: Cross multiply
    38,784.50x = 62,226 × 62,226
  4. Step 4: Simplify right side
    38,784.50x = 3,872,075,076
  5. Step 5: Solve for x
    x = 3,872,075,076/38,784.50
  6. Step 6: Final answer
    x = 99,835.63

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.