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Finding the Third Proportional to 17,551.69 and 31,210.31

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Solution

The third proportional to 17,551.69 and 31,210.31 is: 55,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,551.69 : 31,210.31 = 31,210.31 : x
  2. Step 2: Convert to fraction form
    17,551.69/31,210.31 = 31,210.31/x
  3. Step 3: Cross multiply
    17,551.69x = 31,210.31 × 31,210.31
  4. Step 4: Simplify right side
    17,551.69x = 974,083,606.35
  5. Step 5: Solve for x
    x = 974,083,606.35/17,551.69
  6. Step 6: Final answer
    x = 55,498.00

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.