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Finding the Third Proportional to 15,764.63 and 33,989.63

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Solution

The third proportional to 15,764.63 and 33,989.63 is: 73,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.63 : 33,989.63 = 33,989.63 : x
  2. Step 2: Convert to fraction form
    15,764.63/33,989.63 = 33,989.63/x
  3. Step 3: Cross multiply
    15,764.63x = 33,989.63 × 33,989.63
  4. Step 4: Simplify right side
    15,764.63x = 1,155,294,607.64
  5. Step 5: Solve for x
    x = 1,155,294,607.64/15,764.63
  6. Step 6: Final answer
    x = 73,283.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.