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Finding the Third Proportional to 21,181.50 and 31,124.25

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Solution

The third proportional to 21,181.50 and 31,124.25 is: 45,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.50 : 31,124.25 = 31,124.25 : x
  2. Step 2: Convert to fraction form
    21,181.50/31,124.25 = 31,124.25/x
  3. Step 3: Cross multiply
    21,181.50x = 31,124.25 × 31,124.25
  4. Step 4: Simplify right side
    21,181.50x = 968,718,938.06
  5. Step 5: Solve for x
    x = 968,718,938.06/21,181.50
  6. Step 6: Final answer
    x = 45,734.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.