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Finding the Third Proportional to 14,117.63 and 21,873.38

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Solution

The third proportional to 14,117.63 and 21,873.38 is: 33,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.63 : 21,873.38 = 21,873.38 : x
  2. Step 2: Convert to fraction form
    14,117.63/21,873.38 = 21,873.38/x
  3. Step 3: Cross multiply
    14,117.63x = 21,873.38 × 21,873.38
  4. Step 4: Simplify right side
    14,117.63x = 478,444,533.89
  5. Step 5: Solve for x
    x = 478,444,533.89/14,117.63
  6. Step 6: Final answer
    x = 33,889.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.