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Finding the Third Proportional to 23,808 and 52,080

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Solution

The third proportional to 23,808 and 52,080 is: 113,925

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808 : 52,080 = 52,080 : x
  2. Step 2: Convert to fraction form
    23,808/52,080 = 52,080/x
  3. Step 3: Cross multiply
    23,808x = 52,080 × 52,080
  4. Step 4: Simplify right side
    23,808x = 2,712,326,400
  5. Step 5: Solve for x
    x = 2,712,326,400/23,808
  6. Step 6: Final answer
    x = 113,925

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.