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Finding the Third Proportional to 15,078.38 and 31,693.50

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Solution

The third proportional to 15,078.38 and 31,693.50 is: 66,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.38 : 31,693.50 = 31,693.50 : x
  2. Step 2: Convert to fraction form
    15,078.38/31,693.50 = 31,693.50/x
  3. Step 3: Cross multiply
    15,078.38x = 31,693.50 × 31,693.50
  4. Step 4: Simplify right side
    15,078.38x = 1,004,477,942.25
  5. Step 5: Solve for x
    x = 1,004,477,942.25/15,078.38
  6. Step 6: Final answer
    x = 66,617.12

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.