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Finding the Third Proportional to 13,547.25 and 19,910.81

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Solution

The third proportional to 13,547.25 and 19,910.81 is: 29,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.25 : 19,910.81 = 19,910.81 : x
  2. Step 2: Convert to fraction form
    13,547.25/19,910.81 = 19,910.81/x
  3. Step 3: Cross multiply
    13,547.25x = 19,910.81 × 19,910.81
  4. Step 4: Simplify right side
    13,547.25x = 396,440,454.41
  5. Step 5: Solve for x
    x = 396,440,454.41/13,547.25
  6. Step 6: Final answer
    x = 29,263.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.