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Finding the Third Proportional to 14,866.66 and 21,138.15

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Solution

The third proportional to 14,866.66 and 21,138.15 is: 30,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.66 : 21,138.15 = 21,138.15 : x
  2. Step 2: Convert to fraction form
    14,866.66/21,138.15 = 21,138.15/x
  3. Step 3: Cross multiply
    14,866.66x = 21,138.15 × 21,138.15
  4. Step 4: Simplify right side
    14,866.66x = 446,821,484.51
  5. Step 5: Solve for x
    x = 446,821,484.51/14,866.66
  6. Step 6: Final answer
    x = 30,055.26

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.