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Finding the Third Proportional to 21,498.75 and 47,138.63

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Solution

The third proportional to 21,498.75 and 47,138.63 is: 103,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.75 : 47,138.63 = 47,138.63 : x
  2. Step 2: Convert to fraction form
    21,498.75/47,138.63 = 47,138.63/x
  3. Step 3: Cross multiply
    21,498.75x = 47,138.63 × 47,138.63
  4. Step 4: Simplify right side
    21,498.75x = 2,222,049,966.89
  5. Step 5: Solve for x
    x = 2,222,049,966.89/21,498.75
  6. Step 6: Final answer
    x = 103,357.17

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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.