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Finding the Third Proportional to 1,503.56 and 3,812.06

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Solution

The third proportional to 1,503.56 and 3,812.06 is: 9,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.56 : 3,812.06 = 3,812.06 : x
  2. Step 2: Convert to fraction form
    1,503.56/3,812.06 = 3,812.06/x
  3. Step 3: Cross multiply
    1,503.56x = 3,812.06 × 3,812.06
  4. Step 4: Simplify right side
    1,503.56x = 14,531,820.50
  5. Step 5: Solve for x
    x = 14,531,820.50/1,503.56
  6. Step 6: Final answer
    x = 9,664.93

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Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.