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Finding the Third Proportional to 4,565 and 9,346

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Solution

The third proportional to 4,565 and 9,346 is: 19,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565 : 9,346 = 9,346 : x
  2. Step 2: Convert to fraction form
    4,565/9,346 = 9,346/x
  3. Step 3: Cross multiply
    4,565x = 9,346 × 9,346
  4. Step 4: Simplify right side
    4,565x = 87,347,716
  5. Step 5: Solve for x
    x = 87,347,716/4,565
  6. Step 6: Final answer
    x = 19,134.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.