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Finding the Third Proportional to 27,903 and 42,507

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Solution

The third proportional to 27,903 and 42,507 is: 64,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,903 : 42,507 = 42,507 : x
  2. Step 2: Convert to fraction form
    27,903/42,507 = 42,507/x
  3. Step 3: Cross multiply
    27,903x = 42,507 × 42,507
  4. Step 4: Simplify right side
    27,903x = 1,806,845,049
  5. Step 5: Solve for x
    x = 1,806,845,049/27,903
  6. Step 6: Final answer
    x = 64,754.51

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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.