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Finding the Third Proportional to 21,037 and 31,609.50

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Solution

The third proportional to 21,037 and 31,609.50 is: 47,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,037 : 31,609.50 = 31,609.50 : x
  2. Step 2: Convert to fraction form
    21,037/31,609.50 = 31,609.50/x
  3. Step 3: Cross multiply
    21,037x = 31,609.50 × 31,609.50
  4. Step 4: Simplify right side
    21,037x = 999,160,490.25
  5. Step 5: Solve for x
    x = 999,160,490.25/21,037
  6. Step 6: Final answer
    x = 47,495.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.