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Finding the Third Proportional to 7,353 and 19,354.50

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Solution

The third proportional to 7,353 and 19,354.50 is: 50,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353 : 19,354.50 = 19,354.50 : x
  2. Step 2: Convert to fraction form
    7,353/19,354.50 = 19,354.50/x
  3. Step 3: Cross multiply
    7,353x = 19,354.50 × 19,354.50
  4. Step 4: Simplify right side
    7,353x = 374,596,670.25
  5. Step 5: Solve for x
    x = 374,596,670.25/7,353
  6. Step 6: Final answer
    x = 50,944.74

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.