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Finding the Third Proportional to 13,804.59 and 29,813.06

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Solution

The third proportional to 13,804.59 and 29,813.06 is: 64,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.59 : 29,813.06 = 29,813.06 : x
  2. Step 2: Convert to fraction form
    13,804.59/29,813.06 = 29,813.06/x
  3. Step 3: Cross multiply
    13,804.59x = 29,813.06 × 29,813.06
  4. Step 4: Simplify right side
    13,804.59x = 888,818,695.63
  5. Step 5: Solve for x
    x = 888,818,695.63/13,804.59
  6. Step 6: Final answer
    x = 64,385.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.