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Finding the Third Proportional to 8,712.56 and 14,018.06

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Solution

The third proportional to 8,712.56 and 14,018.06 is: 22,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.56 : 14,018.06 = 14,018.06 : x
  2. Step 2: Convert to fraction form
    8,712.56/14,018.06 = 14,018.06/x
  3. Step 3: Cross multiply
    8,712.56x = 14,018.06 × 14,018.06
  4. Step 4: Simplify right side
    8,712.56x = 196,506,076.25
  5. Step 5: Solve for x
    x = 196,506,076.25/8,712.56
  6. Step 6: Final answer
    x = 22,554.34

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.