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Finding the Third Proportional to 12,224.25 and 17,870.63

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Solution

The third proportional to 12,224.25 and 17,870.63 is: 26,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.25 : 17,870.63 = 17,870.63 : x
  2. Step 2: Convert to fraction form
    12,224.25/17,870.63 = 17,870.63/x
  3. Step 3: Cross multiply
    12,224.25x = 17,870.63 × 17,870.63
  4. Step 4: Simplify right side
    12,224.25x = 319,359,237.89
  5. Step 5: Solve for x
    x = 319,359,237.89/12,224.25
  6. Step 6: Final answer
    x = 26,125.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.