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Finding the Third Proportional to 10,768.88 and 22,840.50

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Solution

The third proportional to 10,768.88 and 22,840.50 is: 48,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.88 : 22,840.50 = 22,840.50 : x
  2. Step 2: Convert to fraction form
    10,768.88/22,840.50 = 22,840.50/x
  3. Step 3: Cross multiply
    10,768.88x = 22,840.50 × 22,840.50
  4. Step 4: Simplify right side
    10,768.88x = 521,688,440.25
  5. Step 5: Solve for x
    x = 521,688,440.25/10,768.88
  6. Step 6: Final answer
    x = 48,444.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.