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Finding the Third Proportional to 34,294.88 and 51,533.63

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Solution

The third proportional to 34,294.88 and 51,533.63 is: 77,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294.88 : 51,533.63 = 51,533.63 : x
  2. Step 2: Convert to fraction form
    34,294.88/51,533.63 = 51,533.63/x
  3. Step 3: Cross multiply
    34,294.88x = 51,533.63 × 51,533.63
  4. Step 4: Simplify right side
    34,294.88x = 2,655,714,505.64
  5. Step 5: Solve for x
    x = 2,655,714,505.64/34,294.88
  6. Step 6: Final answer
    x = 77,437.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.