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Finding the Third Proportional to 30,888 and 41,953.50

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Solution

The third proportional to 30,888 and 41,953.50 is: 56,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,888 : 41,953.50 = 41,953.50 : x
  2. Step 2: Convert to fraction form
    30,888/41,953.50 = 41,953.50/x
  3. Step 3: Cross multiply
    30,888x = 41,953.50 × 41,953.50
  4. Step 4: Simplify right side
    30,888x = 1,760,096,162.25
  5. Step 5: Solve for x
    x = 1,760,096,162.25/30,888
  6. Step 6: Final answer
    x = 56,983.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.