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Finding the Third Proportional to 15,666.75 and 32,097.75

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Solution

The third proportional to 15,666.75 and 32,097.75 is: 65,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.75 : 32,097.75 = 32,097.75 : x
  2. Step 2: Convert to fraction form
    15,666.75/32,097.75 = 32,097.75/x
  3. Step 3: Cross multiply
    15,666.75x = 32,097.75 × 32,097.75
  4. Step 4: Simplify right side
    15,666.75x = 1,030,265,555.06
  5. Step 5: Solve for x
    x = 1,030,265,555.06/15,666.75
  6. Step 6: Final answer
    x = 65,761.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.