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Finding the Third Proportional to 15,095 and 22,778

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Solution

The third proportional to 15,095 and 22,778 is: 34,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,095 : 22,778 = 22,778 : x
  2. Step 2: Convert to fraction form
    15,095/22,778 = 22,778/x
  3. Step 3: Cross multiply
    15,095x = 22,778 × 22,778
  4. Step 4: Simplify right side
    15,095x = 518,837,284
  5. Step 5: Solve for x
    x = 518,837,284/15,095
  6. Step 6: Final answer
    x = 34,371.47

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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.