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Finding the Third Proportional to 24,547.50 and 50,856.75

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Solution

The third proportional to 24,547.50 and 50,856.75 is: 105,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.50 : 50,856.75 = 50,856.75 : x
  2. Step 2: Convert to fraction form
    24,547.50/50,856.75 = 50,856.75/x
  3. Step 3: Cross multiply
    24,547.50x = 50,856.75 × 50,856.75
  4. Step 4: Simplify right side
    24,547.50x = 2,586,409,020.56
  5. Step 5: Solve for x
    x = 2,586,409,020.56/24,547.50
  6. Step 6: Final answer
    x = 105,363.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.