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Finding the Third Proportional to 9,756.07 and 21,007.16

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Solution

The third proportional to 9,756.07 and 21,007.16 is: 45,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.07 : 21,007.16 = 21,007.16 : x
  2. Step 2: Convert to fraction form
    9,756.07/21,007.16 = 21,007.16/x
  3. Step 3: Cross multiply
    9,756.07x = 21,007.16 × 21,007.16
  4. Step 4: Simplify right side
    9,756.07x = 441,300,777.83
  5. Step 5: Solve for x
    x = 441,300,777.83/9,756.07
  6. Step 6: Final answer
    x = 45,233.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.