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Finding the Third Proportional to 5,636.63 and 12,055.13

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Solution

The third proportional to 5,636.63 and 12,055.13 is: 25,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.63 : 12,055.13 = 12,055.13 : x
  2. Step 2: Convert to fraction form
    5,636.63/12,055.13 = 12,055.13/x
  3. Step 3: Cross multiply
    5,636.63x = 12,055.13 × 12,055.13
  4. Step 4: Simplify right side
    5,636.63x = 145,326,038.77
  5. Step 5: Solve for x
    x = 145,326,038.77/5,636.63
  6. Step 6: Final answer
    x = 25,782.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.