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Finding the Third Proportional to 5,308.50 and 11,437.50

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Solution

The third proportional to 5,308.50 and 11,437.50 is: 24,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.50 : 11,437.50 = 11,437.50 : x
  2. Step 2: Convert to fraction form
    5,308.50/11,437.50 = 11,437.50/x
  3. Step 3: Cross multiply
    5,308.50x = 11,437.50 × 11,437.50
  4. Step 4: Simplify right side
    5,308.50x = 130,816,406.25
  5. Step 5: Solve for x
    x = 130,816,406.25/5,308.50
  6. Step 6: Final answer
    x = 24,642.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.