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Finding the Third Proportional to 23,968.50 and 52,080

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Solution

The third proportional to 23,968.50 and 52,080 is: 113,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968.50 : 52,080 = 52,080 : x
  2. Step 2: Convert to fraction form
    23,968.50/52,080 = 52,080/x
  3. Step 3: Cross multiply
    23,968.50x = 52,080 × 52,080
  4. Step 4: Simplify right side
    23,968.50x = 2,712,326,400
  5. Step 5: Solve for x
    x = 2,712,326,400/23,968.50
  6. Step 6: Final answer
    x = 113,162.13

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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.