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Finding the Third Proportional to 21,222 and 45,734.63

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Solution

The third proportional to 21,222 and 45,734.63 is: 98,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222 : 45,734.63 = 45,734.63 : x
  2. Step 2: Convert to fraction form
    21,222/45,734.63 = 45,734.63/x
  3. Step 3: Cross multiply
    21,222x = 45,734.63 × 45,734.63
  4. Step 4: Simplify right side
    21,222x = 2,091,655,923.89
  5. Step 5: Solve for x
    x = 2,091,655,923.89/21,222
  6. Step 6: Final answer
    x = 98,560.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.