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Finding the Third Proportional to 14,526.14 and 22,446.07

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Solution

The third proportional to 14,526.14 and 22,446.07 is: 34,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526.14 : 22,446.07 = 22,446.07 : x
  2. Step 2: Convert to fraction form
    14,526.14/22,446.07 = 22,446.07/x
  3. Step 3: Cross multiply
    14,526.14x = 22,446.07 × 22,446.07
  4. Step 4: Simplify right side
    14,526.14x = 503,826,072.47
  5. Step 5: Solve for x
    x = 503,826,072.47/14,526.14
  6. Step 6: Final answer
    x = 34,684.10

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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.