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Finding the Third Proportional to 5,949 and 9,148.50

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Solution

The third proportional to 5,949 and 9,148.50 is: 14,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949 : 9,148.50 = 9,148.50 : x
  2. Step 2: Convert to fraction form
    5,949/9,148.50 = 9,148.50/x
  3. Step 3: Cross multiply
    5,949x = 9,148.50 × 9,148.50
  4. Step 4: Simplify right side
    5,949x = 83,695,052.25
  5. Step 5: Solve for x
    x = 83,695,052.25/5,949
  6. Step 6: Final answer
    x = 14,068.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.