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Finding the Third Proportional to 10,836.50 and 23,354

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Solution

The third proportional to 10,836.50 and 23,354 is: 50,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.50 : 23,354 = 23,354 : x
  2. Step 2: Convert to fraction form
    10,836.50/23,354 = 23,354/x
  3. Step 3: Cross multiply
    10,836.50x = 23,354 × 23,354
  4. Step 4: Simplify right side
    10,836.50x = 545,409,316
  5. Step 5: Solve for x
    x = 545,409,316/10,836.50
  6. Step 6: Final answer
    x = 50,330.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.