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Finding the Third Proportional to 25,538.63 and 54,148.88

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Solution

The third proportional to 25,538.63 and 54,148.88 is: 114,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538.63 : 54,148.88 = 54,148.88 : x
  2. Step 2: Convert to fraction form
    25,538.63/54,148.88 = 54,148.88/x
  3. Step 3: Cross multiply
    25,538.63x = 54,148.88 × 54,148.88
  4. Step 4: Simplify right side
    25,538.63x = 2,932,100,663.77
  5. Step 5: Solve for x
    x = 2,932,100,663.77/25,538.63
  6. Step 6: Final answer
    x = 114,810.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.