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Finding the Third Proportional to 14,904 and 32,128

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Solution

The third proportional to 14,904 and 32,128 is: 69,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904 : 32,128 = 32,128 : x
  2. Step 2: Convert to fraction form
    14,904/32,128 = 32,128/x
  3. Step 3: Cross multiply
    14,904x = 32,128 × 32,128
  4. Step 4: Simplify right side
    14,904x = 1,032,208,384
  5. Step 5: Solve for x
    x = 1,032,208,384/14,904
  6. Step 6: Final answer
    x = 69,257.14

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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.