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Finding the Third Proportional to 6,596 and 15,284

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Solution

The third proportional to 6,596 and 15,284 is: 35,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596 : 15,284 = 15,284 : x
  2. Step 2: Convert to fraction form
    6,596/15,284 = 15,284/x
  3. Step 3: Cross multiply
    6,596x = 15,284 × 15,284
  4. Step 4: Simplify right side
    6,596x = 233,600,656
  5. Step 5: Solve for x
    x = 233,600,656/6,596
  6. Step 6: Final answer
    x = 35,415.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.