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Finding the Third Proportional to 9,100 and 19,301.50

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Solution

The third proportional to 9,100 and 19,301.50 is: 40,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100 : 19,301.50 = 19,301.50 : x
  2. Step 2: Convert to fraction form
    9,100/19,301.50 = 19,301.50/x
  3. Step 3: Cross multiply
    9,100x = 19,301.50 × 19,301.50
  4. Step 4: Simplify right side
    9,100x = 372,547,902.25
  5. Step 5: Solve for x
    x = 372,547,902.25/9,100
  6. Step 6: Final answer
    x = 40,939.33

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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.