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Finding the Third Proportional to 25,836 and 55,801.50

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Solution

The third proportional to 25,836 and 55,801.50 is: 120,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,836 : 55,801.50 = 55,801.50 : x
  2. Step 2: Convert to fraction form
    25,836/55,801.50 = 55,801.50/x
  3. Step 3: Cross multiply
    25,836x = 55,801.50 × 55,801.50
  4. Step 4: Simplify right side
    25,836x = 3,113,807,402.25
  5. Step 5: Solve for x
    x = 3,113,807,402.25/25,836
  6. Step 6: Final answer
    x = 120,522.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.