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Finding the Third Proportional to 14,297 and 31,654

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Solution

The third proportional to 14,297 and 31,654 is: 70,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297 : 31,654 = 31,654 : x
  2. Step 2: Convert to fraction form
    14,297/31,654 = 31,654/x
  3. Step 3: Cross multiply
    14,297x = 31,654 × 31,654
  4. Step 4: Simplify right side
    14,297x = 1,001,975,716
  5. Step 5: Solve for x
    x = 1,001,975,716/14,297
  6. Step 6: Final answer
    x = 70,082.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.