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Finding the Third Proportional to 22,316.25 and 48,638.63

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Solution

The third proportional to 22,316.25 and 48,638.63 is: 106,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316.25 : 48,638.63 = 48,638.63 : x
  2. Step 2: Convert to fraction form
    22,316.25/48,638.63 = 48,638.63/x
  3. Step 3: Cross multiply
    22,316.25x = 48,638.63 × 48,638.63
  4. Step 4: Simplify right side
    22,316.25x = 2,365,715,841.89
  5. Step 5: Solve for x
    x = 2,365,715,841.89/22,316.25
  6. Step 6: Final answer
    x = 106,008.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.