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Finding the Third Proportional to 38,101.50 and 92,453.75

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Solution

The third proportional to 38,101.50 and 92,453.75 is: 224,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101.50 : 92,453.75 = 92,453.75 : x
  2. Step 2: Convert to fraction form
    38,101.50/92,453.75 = 92,453.75/x
  3. Step 3: Cross multiply
    38,101.50x = 92,453.75 × 92,453.75
  4. Step 4: Simplify right side
    38,101.50x = 8,547,695,889.06
  5. Step 5: Solve for x
    x = 8,547,695,889.06/38,101.50
  6. Step 6: Final answer
    x = 224,340.14

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.