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Finding the Third Proportional to 4,430.95 and 9,682.03

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Solution

The third proportional to 4,430.95 and 9,682.03 is: 21,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.95 : 9,682.03 = 9,682.03 : x
  2. Step 2: Convert to fraction form
    4,430.95/9,682.03 = 9,682.03/x
  3. Step 3: Cross multiply
    4,430.95x = 9,682.03 × 9,682.03
  4. Step 4: Simplify right side
    4,430.95x = 93,741,729.13
  5. Step 5: Solve for x
    x = 93,741,729.13/4,430.95
  6. Step 6: Final answer
    x = 21,156.11

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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.