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Finding the Third Proportional to 5,124.94 and 7,967.53

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Solution

The third proportional to 5,124.94 and 7,967.53 is: 12,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.94 : 7,967.53 = 7,967.53 : x
  2. Step 2: Convert to fraction form
    5,124.94/7,967.53 = 7,967.53/x
  3. Step 3: Cross multiply
    5,124.94x = 7,967.53 × 7,967.53
  4. Step 4: Simplify right side
    5,124.94x = 63,481,554.22
  5. Step 5: Solve for x
    x = 63,481,554.22/5,124.94
  6. Step 6: Final answer
    x = 12,386.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.