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Finding the Third Proportional to 15,764 and 32,340

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Solution

The third proportional to 15,764 and 32,340 is: 66,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764 : 32,340 = 32,340 : x
  2. Step 2: Convert to fraction form
    15,764/32,340 = 32,340/x
  3. Step 3: Cross multiply
    15,764x = 32,340 × 32,340
  4. Step 4: Simplify right side
    15,764x = 1,045,875,600
  5. Step 5: Solve for x
    x = 1,045,875,600/15,764
  6. Step 6: Final answer
    x = 66,345.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.