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Finding the Third Proportional to 19,481 and 30,527

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Solution

The third proportional to 19,481 and 30,527 is: 47,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,481 : 30,527 = 30,527 : x
  2. Step 2: Convert to fraction form
    19,481/30,527 = 30,527/x
  3. Step 3: Cross multiply
    19,481x = 30,527 × 30,527
  4. Step 4: Simplify right side
    19,481x = 931,897,729
  5. Step 5: Solve for x
    x = 931,897,729/19,481
  6. Step 6: Final answer
    x = 47,836.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.