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Finding the Third Proportional to 8,505.56 and 12,461.34

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Solution

The third proportional to 8,505.56 and 12,461.34 is: 18,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.56 : 12,461.34 = 12,461.34 : x
  2. Step 2: Convert to fraction form
    8,505.56/12,461.34 = 12,461.34/x
  3. Step 3: Cross multiply
    8,505.56x = 12,461.34 × 12,461.34
  4. Step 4: Simplify right side
    8,505.56x = 155,285,088.06
  5. Step 5: Solve for x
    x = 155,285,088.06/8,505.56
  6. Step 6: Final answer
    x = 18,256.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.