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Finding the Third Proportional to 19,527 and 31,437

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Solution

The third proportional to 19,527 and 31,437 is: 50,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527 : 31,437 = 31,437 : x
  2. Step 2: Convert to fraction form
    19,527/31,437 = 31,437/x
  3. Step 3: Cross multiply
    19,527x = 31,437 × 31,437
  4. Step 4: Simplify right side
    19,527x = 988,284,969
  5. Step 5: Solve for x
    x = 988,284,969/19,527
  6. Step 6: Final answer
    x = 50,611.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.