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Finding the Third Proportional to 5,320.63 and 8,054.88

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Solution

The third proportional to 5,320.63 and 8,054.88 is: 12,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.63 : 8,054.88 = 8,054.88 : x
  2. Step 2: Convert to fraction form
    5,320.63/8,054.88 = 8,054.88/x
  3. Step 3: Cross multiply
    5,320.63x = 8,054.88 × 8,054.88
  4. Step 4: Simplify right side
    5,320.63x = 64,881,011.27
  5. Step 5: Solve for x
    x = 64,881,011.27/5,320.63
  6. Step 6: Final answer
    x = 12,194.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.