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Finding the Third Proportional to 4,320 and 6,928.88

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Solution

The third proportional to 4,320 and 6,928.88 is: 11,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320 : 6,928.88 = 6,928.88 : x
  2. Step 2: Convert to fraction form
    4,320/6,928.88 = 6,928.88/x
  3. Step 3: Cross multiply
    4,320x = 6,928.88 × 6,928.88
  4. Step 4: Simplify right side
    4,320x = 48,009,308.77
  5. Step 5: Solve for x
    x = 48,009,308.77/4,320
  6. Step 6: Final answer
    x = 11,113.27

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.