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Finding the Third Proportional to 14,974.88 and 23,077.41

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Solution

The third proportional to 14,974.88 and 23,077.41 is: 35,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.88 : 23,077.41 = 23,077.41 : x
  2. Step 2: Convert to fraction form
    14,974.88/23,077.41 = 23,077.41/x
  3. Step 3: Cross multiply
    14,974.88x = 23,077.41 × 23,077.41
  4. Step 4: Simplify right side
    14,974.88x = 532,566,679.23
  5. Step 5: Solve for x
    x = 532,566,679.23/14,974.88
  6. Step 6: Final answer
    x = 35,564.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.