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Finding the Third Proportional to 30,486 and 46,051.50

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Solution

The third proportional to 30,486 and 46,051.50 is: 69,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486 : 46,051.50 = 46,051.50 : x
  2. Step 2: Convert to fraction form
    30,486/46,051.50 = 46,051.50/x
  3. Step 3: Cross multiply
    30,486x = 46,051.50 × 46,051.50
  4. Step 4: Simplify right side
    30,486x = 2,120,740,652.25
  5. Step 5: Solve for x
    x = 2,120,740,652.25/30,486
  6. Step 6: Final answer
    x = 69,564.41

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Why These Related Problems?

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