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Finding the Third Proportional to 47,806.50 and 70,317.75

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Solution

The third proportional to 47,806.50 and 70,317.75 is: 103,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,806.50 : 70,317.75 = 70,317.75 : x
  2. Step 2: Convert to fraction form
    47,806.50/70,317.75 = 70,317.75/x
  3. Step 3: Cross multiply
    47,806.50x = 70,317.75 × 70,317.75
  4. Step 4: Simplify right side
    47,806.50x = 4,944,585,965.06
  5. Step 5: Solve for x
    x = 4,944,585,965.06/47,806.50
  6. Step 6: Final answer
    x = 103,429.16

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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.