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Finding the Third Proportional to 27,208.41 and 40,972.08

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Solution

The third proportional to 27,208.41 and 40,972.08 is: 61,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208.41 : 40,972.08 = 40,972.08 : x
  2. Step 2: Convert to fraction form
    27,208.41/40,972.08 = 40,972.08/x
  3. Step 3: Cross multiply
    27,208.41x = 40,972.08 × 40,972.08
  4. Step 4: Simplify right side
    27,208.41x = 1,678,711,185.88
  5. Step 5: Solve for x
    x = 1,678,711,185.88/27,208.41
  6. Step 6: Final answer
    x = 61,698.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.