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Finding the Third Proportional to 1,000.48 and 2,302.80

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Solution

The third proportional to 1,000.48 and 2,302.80 is: 5,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.48 : 2,302.80 = 2,302.80 : x
  2. Step 2: Convert to fraction form
    1,000.48/2,302.80 = 2,302.80/x
  3. Step 3: Cross multiply
    1,000.48x = 2,302.80 × 2,302.80
  4. Step 4: Simplify right side
    1,000.48x = 5,302,909.43
  5. Step 5: Solve for x
    x = 5,302,909.43/1,000.48
  6. Step 6: Final answer
    x = 5,300.38

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.