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Finding the Third Proportional to 6,020 and 8,978.25

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Solution

The third proportional to 6,020 and 8,978.25 is: 13,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020 : 8,978.25 = 8,978.25 : x
  2. Step 2: Convert to fraction form
    6,020/8,978.25 = 8,978.25/x
  3. Step 3: Cross multiply
    6,020x = 8,978.25 × 8,978.25
  4. Step 4: Simplify right side
    6,020x = 80,608,973.06
  5. Step 5: Solve for x
    x = 80,608,973.06/6,020
  6. Step 6: Final answer
    x = 13,390.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.