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Finding the Third Proportional to 15,698 and 19,046

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Solution

The third proportional to 15,698 and 19,046 is: 23,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698 : 19,046 = 19,046 : x
  2. Step 2: Convert to fraction form
    15,698/19,046 = 19,046/x
  3. Step 3: Cross multiply
    15,698x = 19,046 × 19,046
  4. Step 4: Simplify right side
    15,698x = 362,750,116
  5. Step 5: Solve for x
    x = 362,750,116/15,698
  6. Step 6: Final answer
    x = 23,108.05

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.