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Finding the Third Proportional to 15,858 and 21,361.50

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Solution

The third proportional to 15,858 and 21,361.50 is: 28,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858 : 21,361.50 = 21,361.50 : x
  2. Step 2: Convert to fraction form
    15,858/21,361.50 = 21,361.50/x
  3. Step 3: Cross multiply
    15,858x = 21,361.50 × 21,361.50
  4. Step 4: Simplify right side
    15,858x = 456,313,682.25
  5. Step 5: Solve for x
    x = 456,313,682.25/15,858
  6. Step 6: Final answer
    x = 28,774.98

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.