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Finding the Third Proportional to 31,226 and 46,011.75

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Solution

The third proportional to 31,226 and 46,011.75 is: 67,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,226 : 46,011.75 = 46,011.75 : x
  2. Step 2: Convert to fraction form
    31,226/46,011.75 = 46,011.75/x
  3. Step 3: Cross multiply
    31,226x = 46,011.75 × 46,011.75
  4. Step 4: Simplify right side
    31,226x = 2,117,081,138.06
  5. Step 5: Solve for x
    x = 2,117,081,138.06/31,226
  6. Step 6: Final answer
    x = 67,798.67

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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.