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Finding the Third Proportional to 52,538.63 and 72,246.94

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Solution

The third proportional to 52,538.63 and 72,246.94 is: 99,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538.63 : 72,246.94 = 72,246.94 : x
  2. Step 2: Convert to fraction form
    52,538.63/72,246.94 = 72,246.94/x
  3. Step 3: Cross multiply
    52,538.63x = 72,246.94 × 72,246.94
  4. Step 4: Simplify right side
    52,538.63x = 5,219,619,978.13
  5. Step 5: Solve for x
    x = 5,219,619,978.13/52,538.63
  6. Step 6: Final answer
    x = 99,348.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.