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Finding the Third Proportional to 27,772 and 42,346

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Solution

The third proportional to 27,772 and 42,346 is: 64,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772 : 42,346 = 42,346 : x
  2. Step 2: Convert to fraction form
    27,772/42,346 = 42,346/x
  3. Step 3: Cross multiply
    27,772x = 42,346 × 42,346
  4. Step 4: Simplify right side
    27,772x = 1,793,183,716
  5. Step 5: Solve for x
    x = 1,793,183,716/27,772
  6. Step 6: Final answer
    x = 64,568.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.