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Finding the Third Proportional to 11,358.14 and 23,283.07

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Solution

The third proportional to 11,358.14 and 23,283.07 is: 47,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.14 : 23,283.07 = 23,283.07 : x
  2. Step 2: Convert to fraction form
    11,358.14/23,283.07 = 23,283.07/x
  3. Step 3: Cross multiply
    11,358.14x = 23,283.07 × 23,283.07
  4. Step 4: Simplify right side
    11,358.14x = 542,101,363.18
  5. Step 5: Solve for x
    x = 542,101,363.18/11,358.14
  6. Step 6: Final answer
    x = 47,728.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.