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Finding the Third Proportional to 7,316.25 and 16,056.75

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Solution

The third proportional to 7,316.25 and 16,056.75 is: 35,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.25 : 16,056.75 = 16,056.75 : x
  2. Step 2: Convert to fraction form
    7,316.25/16,056.75 = 16,056.75/x
  3. Step 3: Cross multiply
    7,316.25x = 16,056.75 × 16,056.75
  4. Step 4: Simplify right side
    7,316.25x = 257,819,220.56
  5. Step 5: Solve for x
    x = 257,819,220.56/7,316.25
  6. Step 6: Final answer
    x = 35,239.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.