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Finding the Third Proportional to 10,050.12 and 14,774.27

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Solution

The third proportional to 10,050.12 and 14,774.27 is: 21,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.12 : 14,774.27 = 14,774.27 : x
  2. Step 2: Convert to fraction form
    10,050.12/14,774.27 = 14,774.27/x
  3. Step 3: Cross multiply
    10,050.12x = 14,774.27 × 14,774.27
  4. Step 4: Simplify right side
    10,050.12x = 218,279,155.61
  5. Step 5: Solve for x
    x = 218,279,155.61/10,050.12
  6. Step 6: Final answer
    x = 21,719.07

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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.