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Finding the Third Proportional to 27,522 and 42,445

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Solution

The third proportional to 27,522 and 42,445 is: 65,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522 : 42,445 = 42,445 : x
  2. Step 2: Convert to fraction form
    27,522/42,445 = 42,445/x
  3. Step 3: Cross multiply
    27,522x = 42,445 × 42,445
  4. Step 4: Simplify right side
    27,522x = 1,801,578,025
  5. Step 5: Solve for x
    x = 1,801,578,025/27,522
  6. Step 6: Final answer
    x = 65,459.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.