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Finding the Third Proportional to 19,095 and 28,641

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Solution

The third proportional to 19,095 and 28,641 is: 42,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,095 : 28,641 = 28,641 : x
  2. Step 2: Convert to fraction form
    19,095/28,641 = 28,641/x
  3. Step 3: Cross multiply
    19,095x = 28,641 × 28,641
  4. Step 4: Simplify right side
    19,095x = 820,306,881
  5. Step 5: Solve for x
    x = 820,306,881/19,095
  6. Step 6: Final answer
    x = 42,959.25

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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.