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Finding the Third Proportional to 10,959 and 23,860.50

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Solution

The third proportional to 10,959 and 23,860.50 is: 51,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959 : 23,860.50 = 23,860.50 : x
  2. Step 2: Convert to fraction form
    10,959/23,860.50 = 23,860.50/x
  3. Step 3: Cross multiply
    10,959x = 23,860.50 × 23,860.50
  4. Step 4: Simplify right side
    10,959x = 569,323,460.25
  5. Step 5: Solve for x
    x = 569,323,460.25/10,959
  6. Step 6: Final answer
    x = 51,950.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.