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Finding the Third Proportional to 30,265.50 and 44,299.50

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Solution

The third proportional to 30,265.50 and 44,299.50 is: 64,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,265.50 : 44,299.50 = 44,299.50 : x
  2. Step 2: Convert to fraction form
    30,265.50/44,299.50 = 44,299.50/x
  3. Step 3: Cross multiply
    30,265.50x = 44,299.50 × 44,299.50
  4. Step 4: Simplify right side
    30,265.50x = 1,962,445,700.25
  5. Step 5: Solve for x
    x = 1,962,445,700.25/30,265.50
  6. Step 6: Final answer
    x = 64,841.01

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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.