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Finding the Third Proportional to 5,848.50 and 8,592.94

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Solution

The third proportional to 5,848.50 and 8,592.94 is: 12,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.50 : 8,592.94 = 8,592.94 : x
  2. Step 2: Convert to fraction form
    5,848.50/8,592.94 = 8,592.94/x
  3. Step 3: Cross multiply
    5,848.50x = 8,592.94 × 8,592.94
  4. Step 4: Simplify right side
    5,848.50x = 73,838,574.88
  5. Step 5: Solve for x
    x = 73,838,574.88/5,848.50
  6. Step 6: Final answer
    x = 12,625.22

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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.