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Finding the Third Proportional to 2,135 and 4,594

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Solution

The third proportional to 2,135 and 4,594 is: 9,885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135 : 4,594 = 4,594 : x
  2. Step 2: Convert to fraction form
    2,135/4,594 = 4,594/x
  3. Step 3: Cross multiply
    2,135x = 4,594 × 4,594
  4. Step 4: Simplify right side
    2,135x = 21,104,836
  5. Step 5: Solve for x
    x = 21,104,836/2,135
  6. Step 6: Final answer
    x = 9,885.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.