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Finding the Third Proportional to 10,564.50 and 22,953.75

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Solution

The third proportional to 10,564.50 and 22,953.75 is: 49,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.50 : 22,953.75 = 22,953.75 : x
  2. Step 2: Convert to fraction form
    10,564.50/22,953.75 = 22,953.75/x
  3. Step 3: Cross multiply
    10,564.50x = 22,953.75 × 22,953.75
  4. Step 4: Simplify right side
    10,564.50x = 526,874,639.06
  5. Step 5: Solve for x
    x = 526,874,639.06/10,564.50
  6. Step 6: Final answer
    x = 49,872.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.