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Finding the Third Proportional to 13,488.19 and 29,653.59

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Solution

The third proportional to 13,488.19 and 29,653.59 is: 65,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.19 : 29,653.59 = 29,653.59 : x
  2. Step 2: Convert to fraction form
    13,488.19/29,653.59 = 29,653.59/x
  3. Step 3: Cross multiply
    13,488.19x = 29,653.59 × 29,653.59
  4. Step 4: Simplify right side
    13,488.19x = 879,335,622.29
  5. Step 5: Solve for x
    x = 879,335,622.29/13,488.19
  6. Step 6: Final answer
    x = 65,193.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.