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Finding the Third Proportional to 28,488 and 42,718

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Solution

The third proportional to 28,488 and 42,718 is: 64,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,488 : 42,718 = 42,718 : x
  2. Step 2: Convert to fraction form
    28,488/42,718 = 42,718/x
  3. Step 3: Cross multiply
    28,488x = 42,718 × 42,718
  4. Step 4: Simplify right side
    28,488x = 1,824,827,524
  5. Step 5: Solve for x
    x = 1,824,827,524/28,488
  6. Step 6: Final answer
    x = 64,056.01

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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.