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Finding the Third Proportional to 15,904 and 34,430

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Solution

The third proportional to 15,904 and 34,430 is: 74,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904 : 34,430 = 34,430 : x
  2. Step 2: Convert to fraction form
    15,904/34,430 = 34,430/x
  3. Step 3: Cross multiply
    15,904x = 34,430 × 34,430
  4. Step 4: Simplify right side
    15,904x = 1,185,424,900
  5. Step 5: Solve for x
    x = 1,185,424,900/15,904
  6. Step 6: Final answer
    x = 74,536.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.