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Finding the Third Proportional to 30,497.34 and 46,934.44

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Solution

The third proportional to 30,497.34 and 46,934.44 is: 72,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.34 : 46,934.44 = 46,934.44 : x
  2. Step 2: Convert to fraction form
    30,497.34/46,934.44 = 46,934.44/x
  3. Step 3: Cross multiply
    30,497.34x = 46,934.44 × 46,934.44
  4. Step 4: Simplify right side
    30,497.34x = 2,202,841,423.44
  5. Step 5: Solve for x
    x = 2,202,841,423.44/30,497.34
  6. Step 6: Final answer
    x = 72,230.60

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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.