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Finding the Third Proportional to 9,140.34 and 19,955.11

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Solution

The third proportional to 9,140.34 and 19,955.11 is: 43,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.34 : 19,955.11 = 19,955.11 : x
  2. Step 2: Convert to fraction form
    9,140.34/19,955.11 = 19,955.11/x
  3. Step 3: Cross multiply
    9,140.34x = 19,955.11 × 19,955.11
  4. Step 4: Simplify right side
    9,140.34x = 398,206,390.17
  5. Step 5: Solve for x
    x = 398,206,390.17/9,140.34
  6. Step 6: Final answer
    x = 43,565.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.