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Finding the Third Proportional to 6,482.53 and 10,090.83

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Solution

The third proportional to 6,482.53 and 10,090.83 is: 15,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.53 : 10,090.83 = 10,090.83 : x
  2. Step 2: Convert to fraction form
    6,482.53/10,090.83 = 10,090.83/x
  3. Step 3: Cross multiply
    6,482.53x = 10,090.83 × 10,090.83
  4. Step 4: Simplify right side
    6,482.53x = 101,824,812.25
  5. Step 5: Solve for x
    x = 101,824,812.25/6,482.53
  6. Step 6: Final answer
    x = 15,707.57

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.