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Finding the Third Proportional to 19,038.38 and 29,004.75

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Solution

The third proportional to 19,038.38 and 29,004.75 is: 44,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,038.38 : 29,004.75 = 29,004.75 : x
  2. Step 2: Convert to fraction form
    19,038.38/29,004.75 = 29,004.75/x
  3. Step 3: Cross multiply
    19,038.38x = 29,004.75 × 29,004.75
  4. Step 4: Simplify right side
    19,038.38x = 841,275,522.56
  5. Step 5: Solve for x
    x = 841,275,522.56/19,038.38
  6. Step 6: Final answer
    x = 44,188.41

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.