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Finding the Third Proportional to 5,841 and 7,897.50

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Solution

The third proportional to 5,841 and 7,897.50 is: 10,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841 : 7,897.50 = 7,897.50 : x
  2. Step 2: Convert to fraction form
    5,841/7,897.50 = 7,897.50/x
  3. Step 3: Cross multiply
    5,841x = 7,897.50 × 7,897.50
  4. Step 4: Simplify right side
    5,841x = 62,370,506.25
  5. Step 5: Solve for x
    x = 62,370,506.25/5,841
  6. Step 6: Final answer
    x = 10,678.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.