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Finding the Third Proportional to 14,147.16 and 21,835.83

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Solution

The third proportional to 14,147.16 and 21,835.83 is: 33,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.16 : 21,835.83 = 21,835.83 : x
  2. Step 2: Convert to fraction form
    14,147.16/21,835.83 = 21,835.83/x
  3. Step 3: Cross multiply
    14,147.16x = 21,835.83 × 21,835.83
  4. Step 4: Simplify right side
    14,147.16x = 476,803,389.90
  5. Step 5: Solve for x
    x = 476,803,389.90/14,147.16
  6. Step 6: Final answer
    x = 33,703.13

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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.