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Finding the Third Proportional to 33,537 and 45,384.75

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Solution

The third proportional to 33,537 and 45,384.75 is: 61,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537 : 45,384.75 = 45,384.75 : x
  2. Step 2: Convert to fraction form
    33,537/45,384.75 = 45,384.75/x
  3. Step 3: Cross multiply
    33,537x = 45,384.75 × 45,384.75
  4. Step 4: Simplify right side
    33,537x = 2,059,775,532.56
  5. Step 5: Solve for x
    x = 2,059,775,532.56/33,537
  6. Step 6: Final answer
    x = 61,418.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.