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Finding the Third Proportional to 45,294.82 and 53,496.07

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Solution

The third proportional to 45,294.82 and 53,496.07 is: 63,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,294.82 : 53,496.07 = 53,496.07 : x
  2. Step 2: Convert to fraction form
    45,294.82/53,496.07 = 53,496.07/x
  3. Step 3: Cross multiply
    45,294.82x = 53,496.07 × 53,496.07
  4. Step 4: Simplify right side
    45,294.82x = 2,861,829,538.88
  5. Step 5: Solve for x
    x = 2,861,829,538.88/45,294.82
  6. Step 6: Final answer
    x = 63,182.27

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.