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Finding the Third Proportional to 21,425.63 and 47,003.63

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Solution

The third proportional to 21,425.63 and 47,003.63 is: 103,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.63 : 47,003.63 = 47,003.63 : x
  2. Step 2: Convert to fraction form
    21,425.63/47,003.63 = 47,003.63/x
  3. Step 3: Cross multiply
    21,425.63x = 47,003.63 × 47,003.63
  4. Step 4: Simplify right side
    21,425.63x = 2,209,340,763.14
  5. Step 5: Solve for x
    x = 2,209,340,763.14/21,425.63
  6. Step 6: Final answer
    x = 103,116.75

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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.