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Finding the Third Proportional to 10,957.50 and 15,511.50

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Solution

The third proportional to 10,957.50 and 15,511.50 is: 21,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.50 : 15,511.50 = 15,511.50 : x
  2. Step 2: Convert to fraction form
    10,957.50/15,511.50 = 15,511.50/x
  3. Step 3: Cross multiply
    10,957.50x = 15,511.50 × 15,511.50
  4. Step 4: Simplify right side
    10,957.50x = 240,606,632.25
  5. Step 5: Solve for x
    x = 240,606,632.25/10,957.50
  6. Step 6: Final answer
    x = 21,958.17

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.