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Finding the Third Proportional to 24,946 and 55,429

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Solution

The third proportional to 24,946 and 55,429 is: 123,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,946 : 55,429 = 55,429 : x
  2. Step 2: Convert to fraction form
    24,946/55,429 = 55,429/x
  3. Step 3: Cross multiply
    24,946x = 55,429 × 55,429
  4. Step 4: Simplify right side
    24,946x = 3,072,374,041
  5. Step 5: Solve for x
    x = 3,072,374,041/24,946
  6. Step 6: Final answer
    x = 123,160.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.