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Finding the Third Proportional to 3,038 and 4,658

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Solution

The third proportional to 3,038 and 4,658 is: 7,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038 : 4,658 = 4,658 : x
  2. Step 2: Convert to fraction form
    3,038/4,658 = 4,658/x
  3. Step 3: Cross multiply
    3,038x = 4,658 × 4,658
  4. Step 4: Simplify right side
    3,038x = 21,696,964
  5. Step 5: Solve for x
    x = 21,696,964/3,038
  6. Step 6: Final answer
    x = 7,141.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.