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Finding the Third Proportional to 21,052 and 45,478

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Solution

The third proportional to 21,052 and 45,478 is: 98,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052 : 45,478 = 45,478 : x
  2. Step 2: Convert to fraction form
    21,052/45,478 = 45,478/x
  3. Step 3: Cross multiply
    21,052x = 45,478 × 45,478
  4. Step 4: Simplify right side
    21,052x = 2,068,248,484
  5. Step 5: Solve for x
    x = 2,068,248,484/21,052
  6. Step 6: Final answer
    x = 98,244.75

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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.