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Finding the Third Proportional to 15,047.02 and 32,406.33

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Solution

The third proportional to 15,047.02 and 32,406.33 is: 69,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,047.02 : 32,406.33 = 32,406.33 : x
  2. Step 2: Convert to fraction form
    15,047.02/32,406.33 = 32,406.33/x
  3. Step 3: Cross multiply
    15,047.02x = 32,406.33 × 32,406.33
  4. Step 4: Simplify right side
    15,047.02x = 1,050,170,102.55
  5. Step 5: Solve for x
    x = 1,050,170,102.55/15,047.02
  6. Step 6: Final answer
    x = 69,792.58

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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.