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Finding the Third Proportional to 5,133 and 7,699.50

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Solution

The third proportional to 5,133 and 7,699.50 is: 11,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133 : 7,699.50 = 7,699.50 : x
  2. Step 2: Convert to fraction form
    5,133/7,699.50 = 7,699.50/x
  3. Step 3: Cross multiply
    5,133x = 7,699.50 × 7,699.50
  4. Step 4: Simplify right side
    5,133x = 59,282,300.25
  5. Step 5: Solve for x
    x = 59,282,300.25/5,133
  6. Step 6: Final answer
    x = 11,549.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.