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Finding the Third Proportional to 14,520 and 23,022

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Solution

The third proportional to 14,520 and 23,022 is: 36,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520 : 23,022 = 23,022 : x
  2. Step 2: Convert to fraction form
    14,520/23,022 = 23,022/x
  3. Step 3: Cross multiply
    14,520x = 23,022 × 23,022
  4. Step 4: Simplify right side
    14,520x = 530,012,484
  5. Step 5: Solve for x
    x = 530,012,484/14,520
  6. Step 6: Final answer
    x = 36,502.24

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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.