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Finding the Third Proportional to 5,347 and 7,858.50

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Solution

The third proportional to 5,347 and 7,858.50 is: 11,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347 : 7,858.50 = 7,858.50 : x
  2. Step 2: Convert to fraction form
    5,347/7,858.50 = 7,858.50/x
  3. Step 3: Cross multiply
    5,347x = 7,858.50 × 7,858.50
  4. Step 4: Simplify right side
    5,347x = 61,756,022.25
  5. Step 5: Solve for x
    x = 61,756,022.25/5,347
  6. Step 6: Final answer
    x = 11,549.66

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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.