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Finding the Third Proportional to 28,445 and 42,669

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Solution

The third proportional to 28,445 and 42,669 is: 64,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,445 : 42,669 = 42,669 : x
  2. Step 2: Convert to fraction form
    28,445/42,669 = 42,669/x
  3. Step 3: Cross multiply
    28,445x = 42,669 × 42,669
  4. Step 4: Simplify right side
    28,445x = 1,820,643,561
  5. Step 5: Solve for x
    x = 1,820,643,561/28,445
  6. Step 6: Final answer
    x = 64,005.75

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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.