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Finding the Third Proportional to 21,143.50 and 45,476.38

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Solution

The third proportional to 21,143.50 and 45,476.38 is: 97,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.50 : 45,476.38 = 45,476.38 : x
  2. Step 2: Convert to fraction form
    21,143.50/45,476.38 = 45,476.38/x
  3. Step 3: Cross multiply
    21,143.50x = 45,476.38 × 45,476.38
  4. Step 4: Simplify right side
    21,143.50x = 2,068,100,683.14
  5. Step 5: Solve for x
    x = 2,068,100,683.14/21,143.50
  6. Step 6: Final answer
    x = 97,812.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.