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Finding the Third Proportional to 4,222.13 and 9,774.84

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Solution

The third proportional to 4,222.13 and 9,774.84 is: 22,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.13 : 9,774.84 = 9,774.84 : x
  2. Step 2: Convert to fraction form
    4,222.13/9,774.84 = 9,774.84/x
  3. Step 3: Cross multiply
    4,222.13x = 9,774.84 × 9,774.84
  4. Step 4: Simplify right side
    4,222.13x = 95,547,570.34
  5. Step 5: Solve for x
    x = 95,547,570.34/4,222.13
  6. Step 6: Final answer
    x = 22,630.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.