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Finding the Third Proportional to 19,670.98 and 31,195.76

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Solution

The third proportional to 19,670.98 and 31,195.76 is: 49,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.98 : 31,195.76 = 31,195.76 : x
  2. Step 2: Convert to fraction form
    19,670.98/31,195.76 = 31,195.76/x
  3. Step 3: Cross multiply
    19,670.98x = 31,195.76 × 31,195.76
  4. Step 4: Simplify right side
    19,670.98x = 973,175,305.50
  5. Step 5: Solve for x
    x = 973,175,305.50/19,670.98
  6. Step 6: Final answer
    x = 49,472.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.