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Finding the Third Proportional to 12,980.25 and 23,411.53

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Solution

The third proportional to 12,980.25 and 23,411.53 is: 42,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.25 : 23,411.53 = 23,411.53 : x
  2. Step 2: Convert to fraction form
    12,980.25/23,411.53 = 23,411.53/x
  3. Step 3: Cross multiply
    12,980.25x = 23,411.53 × 23,411.53
  4. Step 4: Simplify right side
    12,980.25x = 548,099,795.47
  5. Step 5: Solve for x
    x = 548,099,795.47/12,980.25
  6. Step 6: Final answer
    x = 42,225.67

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.