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Finding the Third Proportional to 10,018.69 and 14,873.06

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Solution

The third proportional to 10,018.69 and 14,873.06 is: 22,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.69 : 14,873.06 = 14,873.06 : x
  2. Step 2: Convert to fraction form
    10,018.69/14,873.06 = 14,873.06/x
  3. Step 3: Cross multiply
    10,018.69x = 14,873.06 × 14,873.06
  4. Step 4: Simplify right side
    10,018.69x = 221,207,988.13
  5. Step 5: Solve for x
    x = 221,207,988.13/10,018.69
  6. Step 6: Final answer
    x = 22,079.54

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.