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Finding the Third Proportional to 10,068.75 and 14,526

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Solution

The third proportional to 10,068.75 and 14,526 is: 20,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.75 : 14,526 = 14,526 : x
  2. Step 2: Convert to fraction form
    10,068.75/14,526 = 14,526/x
  3. Step 3: Cross multiply
    10,068.75x = 14,526 × 14,526
  4. Step 4: Simplify right side
    10,068.75x = 211,004,676
  5. Step 5: Solve for x
    x = 211,004,676/10,068.75
  6. Step 6: Final answer
    x = 20,956.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.