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Finding the Third Proportional to 9,666.84 and 21,209.34

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Solution

The third proportional to 9,666.84 and 21,209.34 is: 46,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.84 : 21,209.34 = 21,209.34 : x
  2. Step 2: Convert to fraction form
    9,666.84/21,209.34 = 21,209.34/x
  3. Step 3: Cross multiply
    9,666.84x = 21,209.34 × 21,209.34
  4. Step 4: Simplify right side
    9,666.84x = 449,836,262.31
  5. Step 5: Solve for x
    x = 449,836,262.31/9,666.84
  6. Step 6: Final answer
    x = 46,533.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.