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Finding the Third Proportional to 15,388.50 and 33,130.50

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Solution

The third proportional to 15,388.50 and 33,130.50 is: 71,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,388.50 : 33,130.50 = 33,130.50 : x
  2. Step 2: Convert to fraction form
    15,388.50/33,130.50 = 33,130.50/x
  3. Step 3: Cross multiply
    15,388.50x = 33,130.50 × 33,130.50
  4. Step 4: Simplify right side
    15,388.50x = 1,097,630,030.25
  5. Step 5: Solve for x
    x = 1,097,630,030.25/15,388.50
  6. Step 6: Final answer
    x = 71,327.94

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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.