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Finding the Third Proportional to 13,386 and 14,826

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Solution

The third proportional to 13,386 and 14,826 is: 16,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386 : 14,826 = 14,826 : x
  2. Step 2: Convert to fraction form
    13,386/14,826 = 14,826/x
  3. Step 3: Cross multiply
    13,386x = 14,826 × 14,826
  4. Step 4: Simplify right side
    13,386x = 219,810,276
  5. Step 5: Solve for x
    x = 219,810,276/13,386
  6. Step 6: Final answer
    x = 16,420.91

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.