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Finding the Third Proportional to 21,307.50 and 32,478.75

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Solution

The third proportional to 21,307.50 and 32,478.75 is: 49,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.50 : 32,478.75 = 32,478.75 : x
  2. Step 2: Convert to fraction form
    21,307.50/32,478.75 = 32,478.75/x
  3. Step 3: Cross multiply
    21,307.50x = 32,478.75 × 32,478.75
  4. Step 4: Simplify right side
    21,307.50x = 1,054,869,201.56
  5. Step 5: Solve for x
    x = 1,054,869,201.56/21,307.50
  6. Step 6: Final answer
    x = 49,506.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.