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Finding the Third Proportional to 30,899.50 and 46,350

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Solution

The third proportional to 30,899.50 and 46,350 is: 69,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.50 : 46,350 = 46,350 : x
  2. Step 2: Convert to fraction form
    30,899.50/46,350 = 46,350/x
  3. Step 3: Cross multiply
    30,899.50x = 46,350 × 46,350
  4. Step 4: Simplify right side
    30,899.50x = 2,148,322,500
  5. Step 5: Solve for x
    x = 2,148,322,500/30,899.50
  6. Step 6: Final answer
    x = 69,526.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.