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Finding the Third Proportional to 44,319 and 66,511

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Solution

The third proportional to 44,319 and 66,511 is: 99,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,319 : 66,511 = 66,511 : x
  2. Step 2: Convert to fraction form
    44,319/66,511 = 66,511/x
  3. Step 3: Cross multiply
    44,319x = 66,511 × 66,511
  4. Step 4: Simplify right side
    44,319x = 4,423,713,121
  5. Step 5: Solve for x
    x = 4,423,713,121/44,319
  6. Step 6: Final answer
    x = 99,815.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.