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Finding the Third Proportional to 7,904 and 17,680

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Solution

The third proportional to 7,904 and 17,680 is: 39,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904 : 17,680 = 17,680 : x
  2. Step 2: Convert to fraction form
    7,904/17,680 = 17,680/x
  3. Step 3: Cross multiply
    7,904x = 17,680 × 17,680
  4. Step 4: Simplify right side
    7,904x = 312,582,400
  5. Step 5: Solve for x
    x = 312,582,400/7,904
  6. Step 6: Final answer
    x = 39,547.37

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.