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Finding the Third Proportional to 24,362 and 31,032

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Solution

The third proportional to 24,362 and 31,032 is: 39,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362 : 31,032 = 31,032 : x
  2. Step 2: Convert to fraction form
    24,362/31,032 = 31,032/x
  3. Step 3: Cross multiply
    24,362x = 31,032 × 31,032
  4. Step 4: Simplify right side
    24,362x = 962,985,024
  5. Step 5: Solve for x
    x = 962,985,024/24,362
  6. Step 6: Final answer
    x = 39,528.16

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.