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Finding the Third Proportional to 46,434 and 69,652.50

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Solution

The third proportional to 46,434 and 69,652.50 is: 104,481.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,434 : 69,652.50 = 69,652.50 : x
  2. Step 2: Convert to fraction form
    46,434/69,652.50 = 69,652.50/x
  3. Step 3: Cross multiply
    46,434x = 69,652.50 × 69,652.50
  4. Step 4: Simplify right side
    46,434x = 4,851,470,756.25
  5. Step 5: Solve for x
    x = 4,851,470,756.25/46,434
  6. Step 6: Final answer
    x = 104,481.00

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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.