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Finding the Third Proportional to 30,465 and 40,999.50

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Solution

The third proportional to 30,465 and 40,999.50 is: 55,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465 : 40,999.50 = 40,999.50 : x
  2. Step 2: Convert to fraction form
    30,465/40,999.50 = 40,999.50/x
  3. Step 3: Cross multiply
    30,465x = 40,999.50 × 40,999.50
  4. Step 4: Simplify right side
    30,465x = 1,680,959,000.25
  5. Step 5: Solve for x
    x = 1,680,959,000.25/30,465
  6. Step 6: Final answer
    x = 55,176.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.