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Finding the Third Proportional to 14,851 and 32,023

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Solution

The third proportional to 14,851 and 32,023 is: 69,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,851 : 32,023 = 32,023 : x
  2. Step 2: Convert to fraction form
    14,851/32,023 = 32,023/x
  3. Step 3: Cross multiply
    14,851x = 32,023 × 32,023
  4. Step 4: Simplify right side
    14,851x = 1,025,472,529
  5. Step 5: Solve for x
    x = 1,025,472,529/14,851
  6. Step 6: Final answer
    x = 69,050.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.