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Finding the Third Proportional to 46,120.50 and 67,536

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Solution

The third proportional to 46,120.50 and 67,536 is: 98,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,120.50 : 67,536 = 67,536 : x
  2. Step 2: Convert to fraction form
    46,120.50/67,536 = 67,536/x
  3. Step 3: Cross multiply
    46,120.50x = 67,536 × 67,536
  4. Step 4: Simplify right side
    46,120.50x = 4,561,111,296
  5. Step 5: Solve for x
    x = 4,561,111,296/46,120.50
  6. Step 6: Final answer
    x = 98,895.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.