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Finding the Third Proportional to 24,741.38 and 53,309.63

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Solution

The third proportional to 24,741.38 and 53,309.63 is: 114,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.38 : 53,309.63 = 53,309.63 : x
  2. Step 2: Convert to fraction form
    24,741.38/53,309.63 = 53,309.63/x
  3. Step 3: Cross multiply
    24,741.38x = 53,309.63 × 53,309.63
  4. Step 4: Simplify right side
    24,741.38x = 2,841,916,117.64
  5. Step 5: Solve for x
    x = 2,841,916,117.64/24,741.38
  6. Step 6: Final answer
    x = 114,864.92

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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.