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Finding the Third Proportional to 33,774.47 and 52,981.59

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Solution

The third proportional to 33,774.47 and 52,981.59 is: 83,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774.47 : 52,981.59 = 52,981.59 : x
  2. Step 2: Convert to fraction form
    33,774.47/52,981.59 = 52,981.59/x
  3. Step 3: Cross multiply
    33,774.47x = 52,981.59 × 52,981.59
  4. Step 4: Simplify right side
    33,774.47x = 2,807,049,276.29
  5. Step 5: Solve for x
    x = 2,807,049,276.29/33,774.47
  6. Step 6: Final answer
    x = 83,111.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.