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Finding the Third Proportional to 11,100.16 and 24,045.61

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Solution

The third proportional to 11,100.16 and 24,045.61 is: 52,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100.16 : 24,045.61 = 24,045.61 : x
  2. Step 2: Convert to fraction form
    11,100.16/24,045.61 = 24,045.61/x
  3. Step 3: Cross multiply
    11,100.16x = 24,045.61 × 24,045.61
  4. Step 4: Simplify right side
    11,100.16x = 578,191,330.22
  5. Step 5: Solve for x
    x = 578,191,330.22/11,100.16
  6. Step 6: Final answer
    x = 52,088.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.