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Finding the Third Proportional to 24,501.38 and 53,672.63

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Solution

The third proportional to 24,501.38 and 53,672.63 is: 117,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.38 : 53,672.63 = 53,672.63 : x
  2. Step 2: Convert to fraction form
    24,501.38/53,672.63 = 53,672.63/x
  3. Step 3: Cross multiply
    24,501.38x = 53,672.63 × 53,672.63
  4. Step 4: Simplify right side
    24,501.38x = 2,880,750,674.39
  5. Step 5: Solve for x
    x = 2,880,750,674.39/24,501.38
  6. Step 6: Final answer
    x = 117,575.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.