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Finding the Third Proportional to 5,133 and 10,549.50

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Solution

The third proportional to 5,133 and 10,549.50 is: 21,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133 : 10,549.50 = 10,549.50 : x
  2. Step 2: Convert to fraction form
    5,133/10,549.50 = 10,549.50/x
  3. Step 3: Cross multiply
    5,133x = 10,549.50 × 10,549.50
  4. Step 4: Simplify right side
    5,133x = 111,291,950.25
  5. Step 5: Solve for x
    x = 111,291,950.25/5,133
  6. Step 6: Final answer
    x = 21,681.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.