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Finding the Third Proportional to 10,319 and 15,046

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Solution

The third proportional to 10,319 and 15,046 is: 21,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319 : 15,046 = 15,046 : x
  2. Step 2: Convert to fraction form
    10,319/15,046 = 15,046/x
  3. Step 3: Cross multiply
    10,319x = 15,046 × 15,046
  4. Step 4: Simplify right side
    10,319x = 226,382,116
  5. Step 5: Solve for x
    x = 226,382,116/10,319
  6. Step 6: Final answer
    x = 21,938.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.