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Finding the Third Proportional to 28,533 and 42,886

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Solution

The third proportional to 28,533 and 42,886 is: 64,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,533 : 42,886 = 42,886 : x
  2. Step 2: Convert to fraction form
    28,533/42,886 = 42,886/x
  3. Step 3: Cross multiply
    28,533x = 42,886 × 42,886
  4. Step 4: Simplify right side
    28,533x = 1,839,208,996
  5. Step 5: Solve for x
    x = 1,839,208,996/28,533
  6. Step 6: Final answer
    x = 64,459.01

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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.