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Finding the Third Proportional to 9,726.17 and 22,950.69

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Solution

The third proportional to 9,726.17 and 22,950.69 is: 54,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.17 : 22,950.69 = 22,950.69 : x
  2. Step 2: Convert to fraction form
    9,726.17/22,950.69 = 22,950.69/x
  3. Step 3: Cross multiply
    9,726.17x = 22,950.69 × 22,950.69
  4. Step 4: Simplify right side
    9,726.17x = 526,733,967.07
  5. Step 5: Solve for x
    x = 526,733,967.07/9,726.17
  6. Step 6: Final answer
    x = 54,156.36

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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.