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Finding the Third Proportional to 27,988.66 and 58,574.39

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Solution

The third proportional to 27,988.66 and 58,574.39 is: 122,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988.66 : 58,574.39 = 58,574.39 : x
  2. Step 2: Convert to fraction form
    27,988.66/58,574.39 = 58,574.39/x
  3. Step 3: Cross multiply
    27,988.66x = 58,574.39 × 58,574.39
  4. Step 4: Simplify right side
    27,988.66x = 3,430,959,237.09
  5. Step 5: Solve for x
    x = 3,430,959,237.09/27,988.66
  6. Step 6: Final answer
    x = 122,583.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.