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Finding the Third Proportional to 23,809.50 and 34,975.13

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Solution

The third proportional to 23,809.50 and 34,975.13 is: 51,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.50 : 34,975.13 = 34,975.13 : x
  2. Step 2: Convert to fraction form
    23,809.50/34,975.13 = 34,975.13/x
  3. Step 3: Cross multiply
    23,809.50x = 34,975.13 × 34,975.13
  4. Step 4: Simplify right side
    23,809.50x = 1,223,259,368.77
  5. Step 5: Solve for x
    x = 1,223,259,368.77/23,809.50
  6. Step 6: Final answer
    x = 51,376.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.