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Finding the Third Proportional to 20,111.63 and 42,894.56

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Solution

The third proportional to 20,111.63 and 42,894.56 is: 91,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,111.63 : 42,894.56 = 42,894.56 : x
  2. Step 2: Convert to fraction form
    20,111.63/42,894.56 = 42,894.56/x
  3. Step 3: Cross multiply
    20,111.63x = 42,894.56 × 42,894.56
  4. Step 4: Simplify right side
    20,111.63x = 1,839,943,492.07
  5. Step 5: Solve for x
    x = 1,839,943,492.07/20,111.63
  6. Step 6: Final answer
    x = 91,486.57

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.