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Finding the Third Proportional to 12,129 and 25,726.50

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Solution

The third proportional to 12,129 and 25,726.50 is: 54,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129 : 25,726.50 = 25,726.50 : x
  2. Step 2: Convert to fraction form
    12,129/25,726.50 = 25,726.50/x
  3. Step 3: Cross multiply
    12,129x = 25,726.50 × 25,726.50
  4. Step 4: Simplify right side
    12,129x = 661,852,802.25
  5. Step 5: Solve for x
    x = 661,852,802.25/12,129
  6. Step 6: Final answer
    x = 54,567.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.