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Finding the Third Proportional to 1,657 and 3,583

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Solution

The third proportional to 1,657 and 3,583 is: 7,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657 : 3,583 = 3,583 : x
  2. Step 2: Convert to fraction form
    1,657/3,583 = 3,583/x
  3. Step 3: Cross multiply
    1,657x = 3,583 × 3,583
  4. Step 4: Simplify right side
    1,657x = 12,837,889
  5. Step 5: Solve for x
    x = 12,837,889/1,657
  6. Step 6: Final answer
    x = 7,747.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.