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Finding the Third Proportional to 14,677.88 and 22,745.81

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Solution

The third proportional to 14,677.88 and 22,745.81 is: 35,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.88 : 22,745.81 = 22,745.81 : x
  2. Step 2: Convert to fraction form
    14,677.88/22,745.81 = 22,745.81/x
  3. Step 3: Cross multiply
    14,677.88x = 22,745.81 × 22,745.81
  4. Step 4: Simplify right side
    14,677.88x = 517,371,986.29
  5. Step 5: Solve for x
    x = 517,371,986.29/14,677.88
  6. Step 6: Final answer
    x = 35,248.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.