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Finding the Third Proportional to 24,833.06 and 53,898.94

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Solution

The third proportional to 24,833.06 and 53,898.94 is: 116,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.06 : 53,898.94 = 53,898.94 : x
  2. Step 2: Convert to fraction form
    24,833.06/53,898.94 = 53,898.94/x
  3. Step 3: Cross multiply
    24,833.06x = 53,898.94 × 53,898.94
  4. Step 4: Simplify right side
    24,833.06x = 2,905,095,463.63
  5. Step 5: Solve for x
    x = 2,905,095,463.63/24,833.06
  6. Step 6: Final answer
    x = 116,984.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.