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Finding the Third Proportional to 34,308 and 51,544.50

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Solution

The third proportional to 34,308 and 51,544.50 is: 77,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,308 : 51,544.50 = 51,544.50 : x
  2. Step 2: Convert to fraction form
    34,308/51,544.50 = 51,544.50/x
  3. Step 3: Cross multiply
    34,308x = 51,544.50 × 51,544.50
  4. Step 4: Simplify right side
    34,308x = 2,656,835,480.25
  5. Step 5: Solve for x
    x = 2,656,835,480.25/34,308
  6. Step 6: Final answer
    x = 77,440.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.