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Finding the Third Proportional to 2,091 and 4,506

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Solution

The third proportional to 2,091 and 4,506 is: 9,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091 : 4,506 = 4,506 : x
  2. Step 2: Convert to fraction form
    2,091/4,506 = 4,506/x
  3. Step 3: Cross multiply
    2,091x = 4,506 × 4,506
  4. Step 4: Simplify right side
    2,091x = 20,304,036
  5. Step 5: Solve for x
    x = 20,304,036/2,091
  6. Step 6: Final answer
    x = 9,710.20

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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.