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Finding the Third Proportional to 9,781 and 21,324.50

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Solution

The third proportional to 9,781 and 21,324.50 is: 46,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781 : 21,324.50 = 21,324.50 : x
  2. Step 2: Convert to fraction form
    9,781/21,324.50 = 21,324.50/x
  3. Step 3: Cross multiply
    9,781x = 21,324.50 × 21,324.50
  4. Step 4: Simplify right side
    9,781x = 454,734,300.25
  5. Step 5: Solve for x
    x = 454,734,300.25/9,781
  6. Step 6: Final answer
    x = 46,491.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.