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Finding the Third Proportional to 8,328.75 and 10,525.88

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Solution

The third proportional to 8,328.75 and 10,525.88 is: 13,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.75 : 10,525.88 = 10,525.88 : x
  2. Step 2: Convert to fraction form
    8,328.75/10,525.88 = 10,525.88/x
  3. Step 3: Cross multiply
    8,328.75x = 10,525.88 × 10,525.88
  4. Step 4: Simplify right side
    8,328.75x = 110,794,044.52
  5. Step 5: Solve for x
    x = 110,794,044.52/8,328.75
  6. Step 6: Final answer
    x = 13,302.60

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.