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Finding the Third Proportional to 9,673.17 and 21,168.84

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Solution

The third proportional to 9,673.17 and 21,168.84 is: 46,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.17 : 21,168.84 = 21,168.84 : x
  2. Step 2: Convert to fraction form
    9,673.17/21,168.84 = 21,168.84/x
  3. Step 3: Cross multiply
    9,673.17x = 21,168.84 × 21,168.84
  4. Step 4: Simplify right side
    9,673.17x = 448,119,945.71
  5. Step 5: Solve for x
    x = 448,119,945.71/9,673.17
  6. Step 6: Final answer
    x = 46,326.06

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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.