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Finding the Third Proportional to 8,303.34 and 13,508.02

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Solution

The third proportional to 8,303.34 and 13,508.02 is: 21,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.34 : 13,508.02 = 13,508.02 : x
  2. Step 2: Convert to fraction form
    8,303.34/13,508.02 = 13,508.02/x
  3. Step 3: Cross multiply
    8,303.34x = 13,508.02 × 13,508.02
  4. Step 4: Simplify right side
    8,303.34x = 182,466,486.13
  5. Step 5: Solve for x
    x = 182,466,486.13/8,303.34
  6. Step 6: Final answer
    x = 21,975.06

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.