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Finding the Third Proportional to 14,440 and 23,044

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Solution

The third proportional to 14,440 and 23,044 is: 36,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,440 : 23,044 = 23,044 : x
  2. Step 2: Convert to fraction form
    14,440/23,044 = 23,044/x
  3. Step 3: Cross multiply
    14,440x = 23,044 × 23,044
  4. Step 4: Simplify right side
    14,440x = 531,025,936
  5. Step 5: Solve for x
    x = 531,025,936/14,440
  6. Step 6: Final answer
    x = 36,774.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.