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Finding the Third Proportional to 13,216 and 14,464

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Solution

The third proportional to 13,216 and 14,464 is: 15,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216 : 14,464 = 14,464 : x
  2. Step 2: Convert to fraction form
    13,216/14,464 = 14,464/x
  3. Step 3: Cross multiply
    13,216x = 14,464 × 14,464
  4. Step 4: Simplify right side
    13,216x = 209,207,296
  5. Step 5: Solve for x
    x = 209,207,296/13,216
  6. Step 6: Final answer
    x = 15,829.85

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.