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Finding the Third Proportional to 31,051.50 and 49,203

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Solution

The third proportional to 31,051.50 and 49,203 is: 77,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.50 : 49,203 = 49,203 : x
  2. Step 2: Convert to fraction form
    31,051.50/49,203 = 49,203/x
  3. Step 3: Cross multiply
    31,051.50x = 49,203 × 49,203
  4. Step 4: Simplify right side
    31,051.50x = 2,420,935,209
  5. Step 5: Solve for x
    x = 2,420,935,209/31,051.50
  6. Step 6: Final answer
    x = 77,965.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.