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Finding the Third Proportional to 10,242 and 14,802.75

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Solution

The third proportional to 10,242 and 14,802.75 is: 21,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242 : 14,802.75 = 14,802.75 : x
  2. Step 2: Convert to fraction form
    10,242/14,802.75 = 14,802.75/x
  3. Step 3: Cross multiply
    10,242x = 14,802.75 × 14,802.75
  4. Step 4: Simplify right side
    10,242x = 219,121,407.56
  5. Step 5: Solve for x
    x = 219,121,407.56/10,242
  6. Step 6: Final answer
    x = 21,394.40

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Why These Related Problems?

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