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Finding the Third Proportional to 25,477.24 and 37,466.61

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Solution

The third proportional to 25,477.24 and 37,466.61 is: 55,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.24 : 37,466.61 = 37,466.61 : x
  2. Step 2: Convert to fraction form
    25,477.24/37,466.61 = 37,466.61/x
  3. Step 3: Cross multiply
    25,477.24x = 37,466.61 × 37,466.61
  4. Step 4: Simplify right side
    25,477.24x = 1,403,747,110.77
  5. Step 5: Solve for x
    x = 1,403,747,110.77/25,477.24
  6. Step 6: Final answer
    x = 55,098.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.