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Finding the Third Proportional to 14,068.69 and 21,154.29

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Solution

The third proportional to 14,068.69 and 21,154.29 is: 31,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.69 : 21,154.29 = 21,154.29 : x
  2. Step 2: Convert to fraction form
    14,068.69/21,154.29 = 21,154.29/x
  3. Step 3: Cross multiply
    14,068.69x = 21,154.29 × 21,154.29
  4. Step 4: Simplify right side
    14,068.69x = 447,503,945.74
  5. Step 5: Solve for x
    x = 447,503,945.74/14,068.69
  6. Step 6: Final answer
    x = 31,808.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.