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Finding the Third Proportional to 28,584 and 63,724.50

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Solution

The third proportional to 28,584 and 63,724.50 is: 142,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,584 : 63,724.50 = 63,724.50 : x
  2. Step 2: Convert to fraction form
    28,584/63,724.50 = 63,724.50/x
  3. Step 3: Cross multiply
    28,584x = 63,724.50 × 63,724.50
  4. Step 4: Simplify right side
    28,584x = 4,060,811,900.25
  5. Step 5: Solve for x
    x = 4,060,811,900.25/28,584
  6. Step 6: Final answer
    x = 142,065.91

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.