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Finding the Third Proportional to 23,599.42 and 51,307.47

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Solution

The third proportional to 23,599.42 and 51,307.47 is: 111,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599.42 : 51,307.47 = 51,307.47 : x
  2. Step 2: Convert to fraction form
    23,599.42/51,307.47 = 51,307.47/x
  3. Step 3: Cross multiply
    23,599.42x = 51,307.47 × 51,307.47
  4. Step 4: Simplify right side
    23,599.42x = 2,632,456,324.48
  5. Step 5: Solve for x
    x = 2,632,456,324.48/23,599.42
  6. Step 6: Final answer
    x = 111,547.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.