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Finding the Third Proportional to 4,587 and 7,120.50

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Solution

The third proportional to 4,587 and 7,120.50 is: 11,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587 : 7,120.50 = 7,120.50 : x
  2. Step 2: Convert to fraction form
    4,587/7,120.50 = 7,120.50/x
  3. Step 3: Cross multiply
    4,587x = 7,120.50 × 7,120.50
  4. Step 4: Simplify right side
    4,587x = 50,701,520.25
  5. Step 5: Solve for x
    x = 50,701,520.25/4,587
  6. Step 6: Final answer
    x = 11,053.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.