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Finding the Third Proportional to 22,968.56 and 33,541.59

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Solution

The third proportional to 22,968.56 and 33,541.59 is: 48,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.56 : 33,541.59 = 33,541.59 : x
  2. Step 2: Convert to fraction form
    22,968.56/33,541.59 = 33,541.59/x
  3. Step 3: Cross multiply
    22,968.56x = 33,541.59 × 33,541.59
  4. Step 4: Simplify right side
    22,968.56x = 1,125,038,511.29
  5. Step 5: Solve for x
    x = 1,125,038,511.29/22,968.56
  6. Step 6: Final answer
    x = 48,981.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.