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Finding the Third Proportional to 19,698.19 and 29,572.59

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Solution

The third proportional to 19,698.19 and 29,572.59 is: 44,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.19 : 29,572.59 = 29,572.59 : x
  2. Step 2: Convert to fraction form
    19,698.19/29,572.59 = 29,572.59/x
  3. Step 3: Cross multiply
    19,698.19x = 29,572.59 × 29,572.59
  4. Step 4: Simplify right side
    19,698.19x = 874,538,301.10
  5. Step 5: Solve for x
    x = 874,538,301.10/19,698.19
  6. Step 6: Final answer
    x = 44,396.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.