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Finding the Third Proportional to 12,546 and 18,435

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Solution

The third proportional to 12,546 and 18,435 is: 27,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 18,435 = 18,435 : x
  2. Step 2: Convert to fraction form
    12,546/18,435 = 18,435/x
  3. Step 3: Cross multiply
    12,546x = 18,435 × 18,435
  4. Step 4: Simplify right side
    12,546x = 339,849,225
  5. Step 5: Solve for x
    x = 339,849,225/12,546
  6. Step 6: Final answer
    x = 27,088.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.