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Finding the Third Proportional to 14,894 and 23,158

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Solution

The third proportional to 14,894 and 23,158 is: 36,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894 : 23,158 = 23,158 : x
  2. Step 2: Convert to fraction form
    14,894/23,158 = 23,158/x
  3. Step 3: Cross multiply
    14,894x = 23,158 × 23,158
  4. Step 4: Simplify right side
    14,894x = 536,292,964
  5. Step 5: Solve for x
    x = 536,292,964/14,894
  6. Step 6: Final answer
    x = 36,007.32

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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.