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Finding the Third Proportional to 30,658.50 and 46,257

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Solution

The third proportional to 30,658.50 and 46,257 is: 69,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.50 : 46,257 = 46,257 : x
  2. Step 2: Convert to fraction form
    30,658.50/46,257 = 46,257/x
  3. Step 3: Cross multiply
    30,658.50x = 46,257 × 46,257
  4. Step 4: Simplify right side
    30,658.50x = 2,139,710,049
  5. Step 5: Solve for x
    x = 2,139,710,049/30,658.50
  6. Step 6: Final answer
    x = 69,791.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.