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Finding the Third Proportional to 5,114.71 and 8,133.54

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Solution

The third proportional to 5,114.71 and 8,133.54 is: 12,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.71 : 8,133.54 = 8,133.54 : x
  2. Step 2: Convert to fraction form
    5,114.71/8,133.54 = 8,133.54/x
  3. Step 3: Cross multiply
    5,114.71x = 8,133.54 × 8,133.54
  4. Step 4: Simplify right side
    5,114.71x = 66,154,457.68
  5. Step 5: Solve for x
    x = 66,154,457.68/5,114.71
  6. Step 6: Final answer
    x = 12,934.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.