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Finding the Third Proportional to 15,362 and 22,946

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Solution

The third proportional to 15,362 and 22,946 is: 34,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,362 : 22,946 = 22,946 : x
  2. Step 2: Convert to fraction form
    15,362/22,946 = 22,946/x
  3. Step 3: Cross multiply
    15,362x = 22,946 × 22,946
  4. Step 4: Simplify right side
    15,362x = 526,518,916
  5. Step 5: Solve for x
    x = 526,518,916/15,362
  6. Step 6: Final answer
    x = 34,274.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.