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Finding the Third Proportional to 23,134.36 and 31,916.53

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Solution

The third proportional to 23,134.36 and 31,916.53 is: 44,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.36 : 31,916.53 = 31,916.53 : x
  2. Step 2: Convert to fraction form
    23,134.36/31,916.53 = 31,916.53/x
  3. Step 3: Cross multiply
    23,134.36x = 31,916.53 × 31,916.53
  4. Step 4: Simplify right side
    23,134.36x = 1,018,664,967.03
  5. Step 5: Solve for x
    x = 1,018,664,967.03/23,134.36
  6. Step 6: Final answer
    x = 44,032.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.