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Finding the Third Proportional to 8,746.31 and 13,505.91

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Solution

The third proportional to 8,746.31 and 13,505.91 is: 20,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.31 : 13,505.91 = 13,505.91 : x
  2. Step 2: Convert to fraction form
    8,746.31/13,505.91 = 13,505.91/x
  3. Step 3: Cross multiply
    8,746.31x = 13,505.91 × 13,505.91
  4. Step 4: Simplify right side
    8,746.31x = 182,409,503.63
  5. Step 5: Solve for x
    x = 182,409,503.63/8,746.31
  6. Step 6: Final answer
    x = 20,855.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.