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Finding the Third Proportional to 12,053.63 and 25,957.13

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Solution

The third proportional to 12,053.63 and 25,957.13 is: 55,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.63 : 25,957.13 = 25,957.13 : x
  2. Step 2: Convert to fraction form
    12,053.63/25,957.13 = 25,957.13/x
  3. Step 3: Cross multiply
    12,053.63x = 25,957.13 × 25,957.13
  4. Step 4: Simplify right side
    12,053.63x = 673,772,338.27
  5. Step 5: Solve for x
    x = 673,772,338.27/12,053.63
  6. Step 6: Final answer
    x = 55,897.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.