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Finding the Third Proportional to 11,151 and 24,053.63

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Solution

The third proportional to 11,151 and 24,053.63 is: 51,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151 : 24,053.63 = 24,053.63 : x
  2. Step 2: Convert to fraction form
    11,151/24,053.63 = 24,053.63/x
  3. Step 3: Cross multiply
    11,151x = 24,053.63 × 24,053.63
  4. Step 4: Simplify right side
    11,151x = 578,576,875.64
  5. Step 5: Solve for x
    x = 578,576,875.64/11,151
  6. Step 6: Final answer
    x = 51,885.65

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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.