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Finding the Third Proportional to 2,886.10 and 4,589.00

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Solution

The third proportional to 2,886.10 and 4,589.00 is: 7,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.10 : 4,589.00 = 4,589.00 : x
  2. Step 2: Convert to fraction form
    2,886.10/4,589.00 = 4,589.00/x
  3. Step 3: Cross multiply
    2,886.10x = 4,589.00 × 4,589.00
  4. Step 4: Simplify right side
    2,886.10x = 21,058,903.07
  5. Step 5: Solve for x
    x = 21,058,903.07/2,886.10
  6. Step 6: Final answer
    x = 7,296.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.