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Finding the Third Proportional to 5,710.50 and 8,386.03

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Solution

The third proportional to 5,710.50 and 8,386.03 is: 12,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.50 : 8,386.03 = 8,386.03 : x
  2. Step 2: Convert to fraction form
    5,710.50/8,386.03 = 8,386.03/x
  3. Step 3: Cross multiply
    5,710.50x = 8,386.03 × 8,386.03
  4. Step 4: Simplify right side
    5,710.50x = 70,325,520.13
  5. Step 5: Solve for x
    x = 70,325,520.13/5,710.50
  6. Step 6: Final answer
    x = 12,315.12

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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.