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Finding the Third Proportional to 32,004 and 46,848.38

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Solution

The third proportional to 32,004 and 46,848.38 is: 68,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004 : 46,848.38 = 46,848.38 : x
  2. Step 2: Convert to fraction form
    32,004/46,848.38 = 46,848.38/x
  3. Step 3: Cross multiply
    32,004x = 46,848.38 × 46,848.38
  4. Step 4: Simplify right side
    32,004x = 2,194,770,240.14
  5. Step 5: Solve for x
    x = 2,194,770,240.14/32,004
  6. Step 6: Final answer
    x = 68,578.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.