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Finding the Third Proportional to 9,747.19 and 21,114.38

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Solution

The third proportional to 9,747.19 and 21,114.38 is: 45,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.19 : 21,114.38 = 21,114.38 : x
  2. Step 2: Convert to fraction form
    9,747.19/21,114.38 = 21,114.38/x
  3. Step 3: Cross multiply
    9,747.19x = 21,114.38 × 21,114.38
  4. Step 4: Simplify right side
    9,747.19x = 445,816,831.64
  5. Step 5: Solve for x
    x = 445,816,831.64/9,747.19
  6. Step 6: Final answer
    x = 45,738.00

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1.5x scale

Why These Related Problems?

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