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Finding the Third Proportional to 14,461 and 25,478

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Solution

The third proportional to 14,461 and 25,478 is: 44,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461 : 25,478 = 25,478 : x
  2. Step 2: Convert to fraction form
    14,461/25,478 = 25,478/x
  3. Step 3: Cross multiply
    14,461x = 25,478 × 25,478
  4. Step 4: Simplify right side
    14,461x = 649,128,484
  5. Step 5: Solve for x
    x = 649,128,484/14,461
  6. Step 6: Final answer
    x = 44,888.22

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.