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Finding the Third Proportional to 17,091 and 25,150.50

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Solution

The third proportional to 17,091 and 25,150.50 is: 37,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,091 : 25,150.50 = 25,150.50 : x
  2. Step 2: Convert to fraction form
    17,091/25,150.50 = 25,150.50/x
  3. Step 3: Cross multiply
    17,091x = 25,150.50 × 25,150.50
  4. Step 4: Simplify right side
    17,091x = 632,547,650.25
  5. Step 5: Solve for x
    x = 632,547,650.25/17,091
  6. Step 6: Final answer
    x = 37,010.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.