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Finding the Third Proportional to 14,440 and 21,184

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Solution

The third proportional to 14,440 and 21,184 is: 31,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,440 : 21,184 = 21,184 : x
  2. Step 2: Convert to fraction form
    14,440/21,184 = 21,184/x
  3. Step 3: Cross multiply
    14,440x = 21,184 × 21,184
  4. Step 4: Simplify right side
    14,440x = 448,761,856
  5. Step 5: Solve for x
    x = 448,761,856/14,440
  6. Step 6: Final answer
    x = 31,077.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.