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Finding the Third Proportional to 7,114 and 11,365

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Solution

The third proportional to 7,114 and 11,365 is: 18,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114 : 11,365 = 11,365 : x
  2. Step 2: Convert to fraction form
    7,114/11,365 = 11,365/x
  3. Step 3: Cross multiply
    7,114x = 11,365 × 11,365
  4. Step 4: Simplify right side
    7,114x = 129,163,225
  5. Step 5: Solve for x
    x = 129,163,225/7,114
  6. Step 6: Final answer
    x = 18,156.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.