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Finding the Third Proportional to 15,515.25 and 23,975.06

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Solution

The third proportional to 15,515.25 and 23,975.06 is: 37,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,515.25 : 23,975.06 = 23,975.06 : x
  2. Step 2: Convert to fraction form
    15,515.25/23,975.06 = 23,975.06/x
  3. Step 3: Cross multiply
    15,515.25x = 23,975.06 × 23,975.06
  4. Step 4: Simplify right side
    15,515.25x = 574,803,621.88
  5. Step 5: Solve for x
    x = 574,803,621.88/15,515.25
  6. Step 6: Final answer
    x = 37,047.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.