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Finding the Third Proportional to 24,835 and 54,038

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Solution

The third proportional to 24,835 and 54,038 is: 117,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,835 : 54,038 = 54,038 : x
  2. Step 2: Convert to fraction form
    24,835/54,038 = 54,038/x
  3. Step 3: Cross multiply
    24,835x = 54,038 × 54,038
  4. Step 4: Simplify right side
    24,835x = 2,920,105,444
  5. Step 5: Solve for x
    x = 2,920,105,444/24,835
  6. Step 6: Final answer
    x = 117,580.25

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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.