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Finding the Third Proportional to 17,775.07 and 22,470.86

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Solution

The third proportional to 17,775.07 and 22,470.86 is: 28,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.07 : 22,470.86 = 22,470.86 : x
  2. Step 2: Convert to fraction form
    17,775.07/22,470.86 = 22,470.86/x
  3. Step 3: Cross multiply
    17,775.07x = 22,470.86 × 22,470.86
  4. Step 4: Simplify right side
    17,775.07x = 504,939,345.50
  5. Step 5: Solve for x
    x = 504,939,345.50/17,775.07
  6. Step 6: Final answer
    x = 28,407.16

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.