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Finding the Third Proportional to 7,056 and 13,153.50

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Solution

The third proportional to 7,056 and 13,153.50 is: 24,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056 : 13,153.50 = 13,153.50 : x
  2. Step 2: Convert to fraction form
    7,056/13,153.50 = 13,153.50/x
  3. Step 3: Cross multiply
    7,056x = 13,153.50 × 13,153.50
  4. Step 4: Simplify right side
    7,056x = 173,014,562.25
  5. Step 5: Solve for x
    x = 173,014,562.25/7,056
  6. Step 6: Final answer
    x = 24,520.20

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.