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Finding the Third Proportional to 28,324 and 42,870

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Solution

The third proportional to 28,324 and 42,870 is: 64,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,324 : 42,870 = 42,870 : x
  2. Step 2: Convert to fraction form
    28,324/42,870 = 42,870/x
  3. Step 3: Cross multiply
    28,324x = 42,870 × 42,870
  4. Step 4: Simplify right side
    28,324x = 1,837,836,900
  5. Step 5: Solve for x
    x = 1,837,836,900/28,324
  6. Step 6: Final answer
    x = 64,886.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.