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Finding the Third Proportional to 12,164 and 15,430

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Solution

The third proportional to 12,164 and 15,430 is: 19,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164 : 15,430 = 15,430 : x
  2. Step 2: Convert to fraction form
    12,164/15,430 = 15,430/x
  3. Step 3: Cross multiply
    12,164x = 15,430 × 15,430
  4. Step 4: Simplify right side
    12,164x = 238,084,900
  5. Step 5: Solve for x
    x = 238,084,900/12,164
  6. Step 6: Final answer
    x = 19,572.91

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.