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Finding the Third Proportional to 13,911.75 and 32,807.53

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Solution

The third proportional to 13,911.75 and 32,807.53 is: 77,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.75 : 32,807.53 = 32,807.53 : x
  2. Step 2: Convert to fraction form
    13,911.75/32,807.53 = 32,807.53/x
  3. Step 3: Cross multiply
    13,911.75x = 32,807.53 × 32,807.53
  4. Step 4: Simplify right side
    13,911.75x = 1,076,334,106.72
  5. Step 5: Solve for x
    x = 1,076,334,106.72/13,911.75
  6. Step 6: Final answer
    x = 77,368.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.