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Finding the Third Proportional to 46,005 and 68,602.50

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Solution

The third proportional to 46,005 and 68,602.50 is: 102,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,005 : 68,602.50 = 68,602.50 : x
  2. Step 2: Convert to fraction form
    46,005/68,602.50 = 68,602.50/x
  3. Step 3: Cross multiply
    46,005x = 68,602.50 × 68,602.50
  4. Step 4: Simplify right side
    46,005x = 4,706,303,006.25
  5. Step 5: Solve for x
    x = 4,706,303,006.25/46,005
  6. Step 6: Final answer
    x = 102,299.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.