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Finding the Third Proportional to 14,558 and 23,089

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Solution

The third proportional to 14,558 and 23,089 is: 36,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558 : 23,089 = 23,089 : x
  2. Step 2: Convert to fraction form
    14,558/23,089 = 23,089/x
  3. Step 3: Cross multiply
    14,558x = 23,089 × 23,089
  4. Step 4: Simplify right side
    14,558x = 533,101,921
  5. Step 5: Solve for x
    x = 533,101,921/14,558
  6. Step 6: Final answer
    x = 36,619.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.