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Finding the Third Proportional to 24,745.50 and 53,320.50

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Solution

The third proportional to 24,745.50 and 53,320.50 is: 114,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745.50 : 53,320.50 = 53,320.50 : x
  2. Step 2: Convert to fraction form
    24,745.50/53,320.50 = 53,320.50/x
  3. Step 3: Cross multiply
    24,745.50x = 53,320.50 × 53,320.50
  4. Step 4: Simplify right side
    24,745.50x = 2,843,075,720.25
  5. Step 5: Solve for x
    x = 2,843,075,720.25/24,745.50
  6. Step 6: Final answer
    x = 114,892.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.