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Finding the Third Proportional to 46,045.53 and 68,784.25

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Solution

The third proportional to 46,045.53 and 68,784.25 is: 102,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,045.53 : 68,784.25 = 68,784.25 : x
  2. Step 2: Convert to fraction form
    46,045.53/68,784.25 = 68,784.25/x
  3. Step 3: Cross multiply
    46,045.53x = 68,784.25 × 68,784.25
  4. Step 4: Simplify right side
    46,045.53x = 4,731,272,611.44
  5. Step 5: Solve for x
    x = 4,731,272,611.44/46,045.53
  6. Step 6: Final answer
    x = 102,752.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.