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Finding the Third Proportional to 15,182.50 and 21,672.50

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Solution

The third proportional to 15,182.50 and 21,672.50 is: 30,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.50 : 21,672.50 = 21,672.50 : x
  2. Step 2: Convert to fraction form
    15,182.50/21,672.50 = 21,672.50/x
  3. Step 3: Cross multiply
    15,182.50x = 21,672.50 × 21,672.50
  4. Step 4: Simplify right side
    15,182.50x = 469,697,256.25
  5. Step 5: Solve for x
    x = 469,697,256.25/15,182.50
  6. Step 6: Final answer
    x = 30,936.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.