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Finding the Third Proportional to 30,913 and 59,362

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Solution

The third proportional to 30,913 and 59,362 is: 113,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913 : 59,362 = 59,362 : x
  2. Step 2: Convert to fraction form
    30,913/59,362 = 59,362/x
  3. Step 3: Cross multiply
    30,913x = 59,362 × 59,362
  4. Step 4: Simplify right side
    30,913x = 3,523,847,044
  5. Step 5: Solve for x
    x = 3,523,847,044/30,913
  6. Step 6: Final answer
    x = 113,992.40

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.