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Finding the Third Proportional to 14,816 and 22,971

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Solution

The third proportional to 14,816 and 22,971 is: 35,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816 : 22,971 = 22,971 : x
  2. Step 2: Convert to fraction form
    14,816/22,971 = 22,971/x
  3. Step 3: Cross multiply
    14,816x = 22,971 × 22,971
  4. Step 4: Simplify right side
    14,816x = 527,666,841
  5. Step 5: Solve for x
    x = 527,666,841/14,816
  6. Step 6: Final answer
    x = 35,614.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.