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Finding the Third Proportional to 24,597.84 and 52,696.41

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Solution

The third proportional to 24,597.84 and 52,696.41 is: 112,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.84 : 52,696.41 = 52,696.41 : x
  2. Step 2: Convert to fraction form
    24,597.84/52,696.41 = 52,696.41/x
  3. Step 3: Cross multiply
    24,597.84x = 52,696.41 × 52,696.41
  4. Step 4: Simplify right side
    24,597.84x = 2,776,911,231.67
  5. Step 5: Solve for x
    x = 2,776,911,231.67/24,597.84
  6. Step 6: Final answer
    x = 112,892.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.