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Finding the Third Proportional to 4,599 and 6,513

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Solution

The third proportional to 4,599 and 6,513 is: 9,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599 : 6,513 = 6,513 : x
  2. Step 2: Convert to fraction form
    4,599/6,513 = 6,513/x
  3. Step 3: Cross multiply
    4,599x = 6,513 × 6,513
  4. Step 4: Simplify right side
    4,599x = 42,419,169
  5. Step 5: Solve for x
    x = 42,419,169/4,599
  6. Step 6: Final answer
    x = 9,223.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.