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Finding the Third Proportional to 14,609.25 and 22,892.63

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Solution

The third proportional to 14,609.25 and 22,892.63 is: 35,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.25 : 22,892.63 = 22,892.63 : x
  2. Step 2: Convert to fraction form
    14,609.25/22,892.63 = 22,892.63/x
  3. Step 3: Cross multiply
    14,609.25x = 22,892.63 × 22,892.63
  4. Step 4: Simplify right side
    14,609.25x = 524,072,279.39
  5. Step 5: Solve for x
    x = 524,072,279.39/14,609.25
  6. Step 6: Final answer
    x = 35,872.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.