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Finding the Third Proportional to 17,670.66 and 23,225.48

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Solution

The third proportional to 17,670.66 and 23,225.48 is: 30,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.66 : 23,225.48 = 23,225.48 : x
  2. Step 2: Convert to fraction form
    17,670.66/23,225.48 = 23,225.48/x
  3. Step 3: Cross multiply
    17,670.66x = 23,225.48 × 23,225.48
  4. Step 4: Simplify right side
    17,670.66x = 539,423,124.45
  5. Step 5: Solve for x
    x = 539,423,124.45/17,670.66
  6. Step 6: Final answer
    x = 30,526.49

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.