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Finding the Third Proportional to 14,894 and 23,062

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Solution

The third proportional to 14,894 and 23,062 is: 35,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894 : 23,062 = 23,062 : x
  2. Step 2: Convert to fraction form
    14,894/23,062 = 23,062/x
  3. Step 3: Cross multiply
    14,894x = 23,062 × 23,062
  4. Step 4: Simplify right side
    14,894x = 531,855,844
  5. Step 5: Solve for x
    x = 531,855,844/14,894
  6. Step 6: Final answer
    x = 35,709.40

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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.