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Finding the Third Proportional to 19,706.50 and 28,983.50

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Solution

The third proportional to 19,706.50 and 28,983.50 is: 42,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.50 : 28,983.50 = 28,983.50 : x
  2. Step 2: Convert to fraction form
    19,706.50/28,983.50 = 28,983.50/x
  3. Step 3: Cross multiply
    19,706.50x = 28,983.50 × 28,983.50
  4. Step 4: Simplify right side
    19,706.50x = 840,043,272.25
  5. Step 5: Solve for x
    x = 840,043,272.25/19,706.50
  6. Step 6: Final answer
    x = 42,627.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.