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Finding the Third Proportional to 19,537 and 30,625.50

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Solution

The third proportional to 19,537 and 30,625.50 is: 48,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537 : 30,625.50 = 30,625.50 : x
  2. Step 2: Convert to fraction form
    19,537/30,625.50 = 30,625.50/x
  3. Step 3: Cross multiply
    19,537x = 30,625.50 × 30,625.50
  4. Step 4: Simplify right side
    19,537x = 937,921,250.25
  5. Step 5: Solve for x
    x = 937,921,250.25/19,537
  6. Step 6: Final answer
    x = 48,007.43

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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.