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Finding the Third Proportional to 14,897 and 20,232

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Solution

The third proportional to 14,897 and 20,232 is: 27,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897 : 20,232 = 20,232 : x
  2. Step 2: Convert to fraction form
    14,897/20,232 = 20,232/x
  3. Step 3: Cross multiply
    14,897x = 20,232 × 20,232
  4. Step 4: Simplify right side
    14,897x = 409,333,824
  5. Step 5: Solve for x
    x = 409,333,824/14,897
  6. Step 6: Final answer
    x = 27,477.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.