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Finding the Third Proportional to 7,509 and 17,382

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Solution

The third proportional to 7,509 and 17,382 is: 40,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509 : 17,382 = 17,382 : x
  2. Step 2: Convert to fraction form
    7,509/17,382 = 17,382/x
  3. Step 3: Cross multiply
    7,509x = 17,382 × 17,382
  4. Step 4: Simplify right side
    7,509x = 302,133,924
  5. Step 5: Solve for x
    x = 302,133,924/7,509
  6. Step 6: Final answer
    x = 40,236.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.