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Finding the Third Proportional to 7,509 and 15,726

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Solution

The third proportional to 7,509 and 15,726 is: 32,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509 : 15,726 = 15,726 : x
  2. Step 2: Convert to fraction form
    7,509/15,726 = 15,726/x
  3. Step 3: Cross multiply
    7,509x = 15,726 × 15,726
  4. Step 4: Simplify right side
    7,509x = 247,307,076
  5. Step 5: Solve for x
    x = 247,307,076/7,509
  6. Step 6: Final answer
    x = 32,934.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.