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Finding the Third Proportional to 15,643.13 and 24,194.95

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Solution

The third proportional to 15,643.13 and 24,194.95 is: 37,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.13 : 24,194.95 = 24,194.95 : x
  2. Step 2: Convert to fraction form
    15,643.13/24,194.95 = 24,194.95/x
  3. Step 3: Cross multiply
    15,643.13x = 24,194.95 × 24,194.95
  4. Step 4: Simplify right side
    15,643.13x = 585,395,756.72
  5. Step 5: Solve for x
    x = 585,395,756.72/15,643.13
  6. Step 6: Final answer
    x = 37,421.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.