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Finding the Third Proportional to 28,582 and 61,933

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Solution

The third proportional to 28,582 and 61,933 is: 134,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582 : 61,933 = 61,933 : x
  2. Step 2: Convert to fraction form
    28,582/61,933 = 61,933/x
  3. Step 3: Cross multiply
    28,582x = 61,933 × 61,933
  4. Step 4: Simplify right side
    28,582x = 3,835,696,489
  5. Step 5: Solve for x
    x = 3,835,696,489/28,582
  6. Step 6: Final answer
    x = 134,199.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.