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Finding the Third Proportional to 7,189.31 and 10,541.81

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Solution

The third proportional to 7,189.31 and 10,541.81 is: 15,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.31 : 10,541.81 = 10,541.81 : x
  2. Step 2: Convert to fraction form
    7,189.31/10,541.81 = 10,541.81/x
  3. Step 3: Cross multiply
    7,189.31x = 10,541.81 × 10,541.81
  4. Step 4: Simplify right side
    7,189.31x = 111,129,810.79
  5. Step 5: Solve for x
    x = 111,129,810.79/7,189.31
  6. Step 6: Final answer
    x = 15,457.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.