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Finding the Third Proportional to 24,466.50 and 53,091

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Solution

The third proportional to 24,466.50 and 53,091 is: 115,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466.50 : 53,091 = 53,091 : x
  2. Step 2: Convert to fraction form
    24,466.50/53,091 = 53,091/x
  3. Step 3: Cross multiply
    24,466.50x = 53,091 × 53,091
  4. Step 4: Simplify right side
    24,466.50x = 2,818,654,281
  5. Step 5: Solve for x
    x = 2,818,654,281/24,466.50
  6. Step 6: Final answer
    x = 115,204.64

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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.