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Finding the Third Proportional to 21,341.81 and 31,320.75

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Solution

The third proportional to 21,341.81 and 31,320.75 is: 45,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,341.81 : 31,320.75 = 31,320.75 : x
  2. Step 2: Convert to fraction form
    21,341.81/31,320.75 = 31,320.75/x
  3. Step 3: Cross multiply
    21,341.81x = 31,320.75 × 31,320.75
  4. Step 4: Simplify right side
    21,341.81x = 980,989,380.56
  5. Step 5: Solve for x
    x = 980,989,380.56/21,341.81
  6. Step 6: Final answer
    x = 45,965.61

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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.