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Finding the Third Proportional to 22,983.75 and 34,045.31

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Solution

The third proportional to 22,983.75 and 34,045.31 is: 50,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.75 : 34,045.31 = 34,045.31 : x
  2. Step 2: Convert to fraction form
    22,983.75/34,045.31 = 34,045.31/x
  3. Step 3: Cross multiply
    22,983.75x = 34,045.31 × 34,045.31
  4. Step 4: Simplify right side
    22,983.75x = 1,159,083,303.22
  5. Step 5: Solve for x
    x = 1,159,083,303.22/22,983.75
  6. Step 6: Final answer
    x = 50,430.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.