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Finding the Third Proportional to 15,768 and 23,046

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Solution

The third proportional to 15,768 and 23,046 is: 33,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768 : 23,046 = 23,046 : x
  2. Step 2: Convert to fraction form
    15,768/23,046 = 23,046/x
  3. Step 3: Cross multiply
    15,768x = 23,046 × 23,046
  4. Step 4: Simplify right side
    15,768x = 531,118,116
  5. Step 5: Solve for x
    x = 531,118,116/15,768
  6. Step 6: Final answer
    x = 33,683.29

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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.