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Finding the Third Proportional to 17,852.48 and 26,226.28

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Solution

The third proportional to 17,852.48 and 26,226.28 is: 38,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.48 : 26,226.28 = 26,226.28 : x
  2. Step 2: Convert to fraction form
    17,852.48/26,226.28 = 26,226.28/x
  3. Step 3: Cross multiply
    17,852.48x = 26,226.28 × 26,226.28
  4. Step 4: Simplify right side
    17,852.48x = 687,817,828.20
  5. Step 5: Solve for x
    x = 687,817,828.20/17,852.48
  6. Step 6: Final answer
    x = 38,527.85

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Why These Related Problems?

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