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Finding the Third Proportional to 4,142 and 4,706

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Solution

The third proportional to 4,142 and 4,706 is: 5,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 4,706 = 4,706 : x
  2. Step 2: Convert to fraction form
    4,142/4,706 = 4,706/x
  3. Step 3: Cross multiply
    4,142x = 4,706 × 4,706
  4. Step 4: Simplify right side
    4,142x = 22,146,436
  5. Step 5: Solve for x
    x = 22,146,436/4,142
  6. Step 6: Final answer
    x = 5,346.80

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.