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Finding the Third Proportional to 14,539 and 23,060

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Solution

The third proportional to 14,539 and 23,060 is: 36,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539 : 23,060 = 23,060 : x
  2. Step 2: Convert to fraction form
    14,539/23,060 = 23,060/x
  3. Step 3: Cross multiply
    14,539x = 23,060 × 23,060
  4. Step 4: Simplify right side
    14,539x = 531,763,600
  5. Step 5: Solve for x
    x = 531,763,600/14,539
  6. Step 6: Final answer
    x = 36,574.98

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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.