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Finding the Third Proportional to 24,215.63 and 52,142.06

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Solution

The third proportional to 24,215.63 and 52,142.06 is: 112,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.63 : 52,142.06 = 52,142.06 : x
  2. Step 2: Convert to fraction form
    24,215.63/52,142.06 = 52,142.06/x
  3. Step 3: Cross multiply
    24,215.63x = 52,142.06 × 52,142.06
  4. Step 4: Simplify right side
    24,215.63x = 2,718,794,681.75
  5. Step 5: Solve for x
    x = 2,718,794,681.75/24,215.63
  6. Step 6: Final answer
    x = 112,274.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.