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Finding the Third Proportional to 23,946.75 and 52,038.75

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Solution

The third proportional to 23,946.75 and 52,038.75 is: 113,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,946.75 : 52,038.75 = 52,038.75 : x
  2. Step 2: Convert to fraction form
    23,946.75/52,038.75 = 52,038.75/x
  3. Step 3: Cross multiply
    23,946.75x = 52,038.75 × 52,038.75
  4. Step 4: Simplify right side
    23,946.75x = 2,708,031,501.56
  5. Step 5: Solve for x
    x = 2,708,031,501.56/23,946.75
  6. Step 6: Final answer
    x = 113,085.55

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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.