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Finding the Third Proportional to 9,303.75 and 22,486.50

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Solution

The third proportional to 9,303.75 and 22,486.50 is: 54,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.75 : 22,486.50 = 22,486.50 : x
  2. Step 2: Convert to fraction form
    9,303.75/22,486.50 = 22,486.50/x
  3. Step 3: Cross multiply
    9,303.75x = 22,486.50 × 22,486.50
  4. Step 4: Simplify right side
    9,303.75x = 505,642,682.25
  5. Step 5: Solve for x
    x = 505,642,682.25/9,303.75
  6. Step 6: Final answer
    x = 54,348.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.