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Finding the Third Proportional to 30,454.88 and 46,871.44

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Solution

The third proportional to 30,454.88 and 46,871.44 is: 72,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454.88 : 46,871.44 = 46,871.44 : x
  2. Step 2: Convert to fraction form
    30,454.88/46,871.44 = 46,871.44/x
  3. Step 3: Cross multiply
    30,454.88x = 46,871.44 × 46,871.44
  4. Step 4: Simplify right side
    30,454.88x = 2,196,931,653.32
  5. Step 5: Solve for x
    x = 2,196,931,653.32/30,454.88
  6. Step 6: Final answer
    x = 72,137.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.