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Finding the Third Proportional to 13,090 and 14,314

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Solution

The third proportional to 13,090 and 14,314 is: 15,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090 : 14,314 = 14,314 : x
  2. Step 2: Convert to fraction form
    13,090/14,314 = 14,314/x
  3. Step 3: Cross multiply
    13,090x = 14,314 × 14,314
  4. Step 4: Simplify right side
    13,090x = 204,890,596
  5. Step 5: Solve for x
    x = 204,890,596/13,090
  6. Step 6: Final answer
    x = 15,652.45

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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.