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Finding the Third Proportional to 21,262.50 and 30,435.75

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Solution

The third proportional to 21,262.50 and 30,435.75 is: 43,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.50 : 30,435.75 = 30,435.75 : x
  2. Step 2: Convert to fraction form
    21,262.50/30,435.75 = 30,435.75/x
  3. Step 3: Cross multiply
    21,262.50x = 30,435.75 × 30,435.75
  4. Step 4: Simplify right side
    21,262.50x = 926,334,878.06
  5. Step 5: Solve for x
    x = 926,334,878.06/21,262.50
  6. Step 6: Final answer
    x = 43,566.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.