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Finding the Third Proportional to 24,275 and 53,083

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Solution

The third proportional to 24,275 and 53,083 is: 116,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275 : 53,083 = 53,083 : x
  2. Step 2: Convert to fraction form
    24,275/53,083 = 53,083/x
  3. Step 3: Cross multiply
    24,275x = 53,083 × 53,083
  4. Step 4: Simplify right side
    24,275x = 2,817,804,889
  5. Step 5: Solve for x
    x = 2,817,804,889/24,275
  6. Step 6: Final answer
    x = 116,078.47

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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.