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Finding the Third Proportional to 9,152 and 18,735.50

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Solution

The third proportional to 9,152 and 18,735.50 is: 38,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152 : 18,735.50 = 18,735.50 : x
  2. Step 2: Convert to fraction form
    9,152/18,735.50 = 18,735.50/x
  3. Step 3: Cross multiply
    9,152x = 18,735.50 × 18,735.50
  4. Step 4: Simplify right side
    9,152x = 351,018,960.25
  5. Step 5: Solve for x
    x = 351,018,960.25/9,152
  6. Step 6: Final answer
    x = 38,354.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.