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Finding the Third Proportional to 13,178 and 28,814

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Solution

The third proportional to 13,178 and 28,814 is: 63,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178 : 28,814 = 28,814 : x
  2. Step 2: Convert to fraction form
    13,178/28,814 = 28,814/x
  3. Step 3: Cross multiply
    13,178x = 28,814 × 28,814
  4. Step 4: Simplify right side
    13,178x = 830,246,596
  5. Step 5: Solve for x
    x = 830,246,596/13,178
  6. Step 6: Final answer
    x = 63,002.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.