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Finding the Third Proportional to 21,427 and 31,303

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Solution

The third proportional to 21,427 and 31,303 is: 45,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,427 : 31,303 = 31,303 : x
  2. Step 2: Convert to fraction form
    21,427/31,303 = 31,303/x
  3. Step 3: Cross multiply
    21,427x = 31,303 × 31,303
  4. Step 4: Simplify right side
    21,427x = 979,877,809
  5. Step 5: Solve for x
    x = 979,877,809/21,427
  6. Step 6: Final answer
    x = 45,730.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.