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Finding the Third Proportional to 4,142 and 4,583

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Solution

The third proportional to 4,142 and 4,583 is: 5,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 4,583 = 4,583 : x
  2. Step 2: Convert to fraction form
    4,142/4,583 = 4,583/x
  3. Step 3: Cross multiply
    4,142x = 4,583 × 4,583
  4. Step 4: Simplify right side
    4,142x = 21,003,889
  5. Step 5: Solve for x
    x = 21,003,889/4,142
  6. Step 6: Final answer
    x = 5,070.95

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.