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Finding the Third Proportional to 14,490 and 23,032

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Solution

The third proportional to 14,490 and 23,032 is: 36,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490 : 23,032 = 23,032 : x
  2. Step 2: Convert to fraction form
    14,490/23,032 = 23,032/x
  3. Step 3: Cross multiply
    14,490x = 23,032 × 23,032
  4. Step 4: Simplify right side
    14,490x = 530,473,024
  5. Step 5: Solve for x
    x = 530,473,024/14,490
  6. Step 6: Final answer
    x = 36,609.59

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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.