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Finding the Third Proportional to 14,298.75 and 21,873.25

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Solution

The third proportional to 14,298.75 and 21,873.25 is: 33,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298.75 : 21,873.25 = 21,873.25 : x
  2. Step 2: Convert to fraction form
    14,298.75/21,873.25 = 21,873.25/x
  3. Step 3: Cross multiply
    14,298.75x = 21,873.25 × 21,873.25
  4. Step 4: Simplify right side
    14,298.75x = 478,439,065.56
  5. Step 5: Solve for x
    x = 478,439,065.56/14,298.75
  6. Step 6: Final answer
    x = 33,460.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.