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Finding the Third Proportional to 22,117.50 and 28,705.50

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Solution

The third proportional to 22,117.50 and 28,705.50 is: 37,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.50 : 28,705.50 = 28,705.50 : x
  2. Step 2: Convert to fraction form
    22,117.50/28,705.50 = 28,705.50/x
  3. Step 3: Cross multiply
    22,117.50x = 28,705.50 × 28,705.50
  4. Step 4: Simplify right side
    22,117.50x = 824,005,730.25
  5. Step 5: Solve for x
    x = 824,005,730.25/22,117.50
  6. Step 6: Final answer
    x = 37,255.83

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.