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Finding the Third Proportional to 14,785.03 and 21,456.14

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Solution

The third proportional to 14,785.03 and 21,456.14 is: 31,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.03 : 21,456.14 = 21,456.14 : x
  2. Step 2: Convert to fraction form
    14,785.03/21,456.14 = 21,456.14/x
  3. Step 3: Cross multiply
    14,785.03x = 21,456.14 × 21,456.14
  4. Step 4: Simplify right side
    14,785.03x = 460,365,970.52
  5. Step 5: Solve for x
    x = 460,365,970.52/14,785.03
  6. Step 6: Final answer
    x = 31,137.30

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.