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Finding the Third Proportional to 5,770 and 8,461.50

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Solution

The third proportional to 5,770 and 8,461.50 is: 12,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770 : 8,461.50 = 8,461.50 : x
  2. Step 2: Convert to fraction form
    5,770/8,461.50 = 8,461.50/x
  3. Step 3: Cross multiply
    5,770x = 8,461.50 × 8,461.50
  4. Step 4: Simplify right side
    5,770x = 71,596,982.25
  5. Step 5: Solve for x
    x = 71,596,982.25/5,770
  6. Step 6: Final answer
    x = 12,408.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.