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Finding the Third Proportional to 4,590 and 8,140

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Solution

The third proportional to 4,590 and 8,140 is: 14,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590 : 8,140 = 8,140 : x
  2. Step 2: Convert to fraction form
    4,590/8,140 = 8,140/x
  3. Step 3: Cross multiply
    4,590x = 8,140 × 8,140
  4. Step 4: Simplify right side
    4,590x = 66,259,600
  5. Step 5: Solve for x
    x = 66,259,600/4,590
  6. Step 6: Final answer
    x = 14,435.64

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.