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Finding the Third Proportional to 12,546 and 19,365

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Solution

The third proportional to 12,546 and 19,365 is: 29,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 19,365 = 19,365 : x
  2. Step 2: Convert to fraction form
    12,546/19,365 = 19,365/x
  3. Step 3: Cross multiply
    12,546x = 19,365 × 19,365
  4. Step 4: Simplify right side
    12,546x = 375,003,225
  5. Step 5: Solve for x
    x = 375,003,225/12,546
  6. Step 6: Final answer
    x = 29,890.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.