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Finding the Third Proportional to 7,468 and 16,346

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Solution

The third proportional to 7,468 and 16,346 is: 35,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468 : 16,346 = 16,346 : x
  2. Step 2: Convert to fraction form
    7,468/16,346 = 16,346/x
  3. Step 3: Cross multiply
    7,468x = 16,346 × 16,346
  4. Step 4: Simplify right side
    7,468x = 267,191,716
  5. Step 5: Solve for x
    x = 267,191,716/7,468
  6. Step 6: Final answer
    x = 35,778.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.