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Finding the Third Proportional to 21,186.56 and 46,261.13

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Solution

The third proportional to 21,186.56 and 46,261.13 is: 101,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.56 : 46,261.13 = 46,261.13 : x
  2. Step 2: Convert to fraction form
    21,186.56/46,261.13 = 46,261.13/x
  3. Step 3: Cross multiply
    21,186.56x = 46,261.13 × 46,261.13
  4. Step 4: Simplify right side
    21,186.56x = 2,140,091,686.27
  5. Step 5: Solve for x
    x = 2,140,091,686.27/21,186.56
  6. Step 6: Final answer
    x = 101,011.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.