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Finding the Third Proportional to 9,774 and 23,050.13

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Solution

The third proportional to 9,774 and 23,050.13 is: 54,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 23,050.13 = 23,050.13 : x
  2. Step 2: Convert to fraction form
    9,774/23,050.13 = 23,050.13/x
  3. Step 3: Cross multiply
    9,774x = 23,050.13 × 23,050.13
  4. Step 4: Simplify right side
    9,774x = 531,308,262.52
  5. Step 5: Solve for x
    x = 531,308,262.52/9,774
  6. Step 6: Final answer
    x = 54,359.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.