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Finding the Third Proportional to 12,654 and 14,724

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Solution

The third proportional to 12,654 and 14,724 is: 17,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654 : 14,724 = 14,724 : x
  2. Step 2: Convert to fraction form
    12,654/14,724 = 14,724/x
  3. Step 3: Cross multiply
    12,654x = 14,724 × 14,724
  4. Step 4: Simplify right side
    12,654x = 216,796,176
  5. Step 5: Solve for x
    x = 216,796,176/12,654
  6. Step 6: Final answer
    x = 17,132.62

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.