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Finding the Third Proportional to 2,588.63 and 4,038.19

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Solution

The third proportional to 2,588.63 and 4,038.19 is: 6,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.63 : 4,038.19 = 4,038.19 : x
  2. Step 2: Convert to fraction form
    2,588.63/4,038.19 = 4,038.19/x
  3. Step 3: Cross multiply
    2,588.63x = 4,038.19 × 4,038.19
  4. Step 4: Simplify right side
    2,588.63x = 16,306,958.29
  5. Step 5: Solve for x
    x = 16,306,958.29/2,588.63
  6. Step 6: Final answer
    x = 6,299.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.