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Finding the Third Proportional to 14,528.25 and 22,449.38

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Solution

The third proportional to 14,528.25 and 22,449.38 is: 34,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528.25 : 22,449.38 = 22,449.38 : x
  2. Step 2: Convert to fraction form
    14,528.25/22,449.38 = 22,449.38/x
  3. Step 3: Cross multiply
    14,528.25x = 22,449.38 × 22,449.38
  4. Step 4: Simplify right side
    14,528.25x = 503,974,437.89
  5. Step 5: Solve for x
    x = 503,974,437.89/14,528.25
  6. Step 6: Final answer
    x = 34,689.27

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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.