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Finding the Third Proportional to 10,300.50 and 14,748.75

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Solution

The third proportional to 10,300.50 and 14,748.75 is: 21,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.50 : 14,748.75 = 14,748.75 : x
  2. Step 2: Convert to fraction form
    10,300.50/14,748.75 = 14,748.75/x
  3. Step 3: Cross multiply
    10,300.50x = 14,748.75 × 14,748.75
  4. Step 4: Simplify right side
    10,300.50x = 217,525,626.56
  5. Step 5: Solve for x
    x = 217,525,626.56/10,300.50
  6. Step 6: Final answer
    x = 21,117.97

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.