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Finding the Third Proportional to 14,596 and 23,115

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Solution

The third proportional to 14,596 and 23,115 is: 36,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596 : 23,115 = 23,115 : x
  2. Step 2: Convert to fraction form
    14,596/23,115 = 23,115/x
  3. Step 3: Cross multiply
    14,596x = 23,115 × 23,115
  4. Step 4: Simplify right side
    14,596x = 534,303,225
  5. Step 5: Solve for x
    x = 534,303,225/14,596
  6. Step 6: Final answer
    x = 36,606.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.