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Finding the Third Proportional to 2,885.63 and 4,588.05

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Solution

The third proportional to 2,885.63 and 4,588.05 is: 7,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.63 : 4,588.05 = 4,588.05 : x
  2. Step 2: Convert to fraction form
    2,885.63/4,588.05 = 4,588.05/x
  3. Step 3: Cross multiply
    2,885.63x = 4,588.05 × 4,588.05
  4. Step 4: Simplify right side
    2,885.63x = 21,050,192.05
  5. Step 5: Solve for x
    x = 21,050,192.05/2,885.63
  6. Step 6: Final answer
    x = 7,294.85

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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.