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Finding the Third Proportional to 13,802.91 and 21,254.91

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Solution

The third proportional to 13,802.91 and 21,254.91 is: 32,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.91 : 21,254.91 = 21,254.91 : x
  2. Step 2: Convert to fraction form
    13,802.91/21,254.91 = 21,254.91/x
  3. Step 3: Cross multiply
    13,802.91x = 21,254.91 × 21,254.91
  4. Step 4: Simplify right side
    13,802.91x = 451,771,039.70
  5. Step 5: Solve for x
    x = 451,771,039.70/13,802.91
  6. Step 6: Final answer
    x = 32,730.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.