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Finding the Third Proportional to 2,117 and 4,594

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Solution

The third proportional to 2,117 and 4,594 is: 9,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117 : 4,594 = 4,594 : x
  2. Step 2: Convert to fraction form
    2,117/4,594 = 4,594/x
  3. Step 3: Cross multiply
    2,117x = 4,594 × 4,594
  4. Step 4: Simplify right side
    2,117x = 21,104,836
  5. Step 5: Solve for x
    x = 21,104,836/2,117
  6. Step 6: Final answer
    x = 9,969.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.