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Finding the Third Proportional to 13,059.35 and 19,280.53

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Solution

The third proportional to 13,059.35 and 19,280.53 is: 28,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.35 : 19,280.53 = 19,280.53 : x
  2. Step 2: Convert to fraction form
    13,059.35/19,280.53 = 19,280.53/x
  3. Step 3: Cross multiply
    13,059.35x = 19,280.53 × 19,280.53
  4. Step 4: Simplify right side
    13,059.35x = 371,738,885.28
  5. Step 5: Solve for x
    x = 371,738,885.28/13,059.35
  6. Step 6: Final answer
    x = 28,465.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.