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Finding the Third Proportional to 45,767.53 and 66,551.63

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Solution

The third proportional to 45,767.53 and 66,551.63 is: 96,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,767.53 : 66,551.63 = 66,551.63 : x
  2. Step 2: Convert to fraction form
    45,767.53/66,551.63 = 66,551.63/x
  3. Step 3: Cross multiply
    45,767.53x = 66,551.63 × 66,551.63
  4. Step 4: Simplify right side
    45,767.53x = 4,429,118,790.14
  5. Step 5: Solve for x
    x = 4,429,118,790.14/45,767.53
  6. Step 6: Final answer
    x = 96,774.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.