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Finding the Third Proportional to 15,953 and 32,702

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Solution

The third proportional to 15,953 and 32,702 is: 67,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953 : 32,702 = 32,702 : x
  2. Step 2: Convert to fraction form
    15,953/32,702 = 32,702/x
  3. Step 3: Cross multiply
    15,953x = 32,702 × 32,702
  4. Step 4: Simplify right side
    15,953x = 1,069,420,804
  5. Step 5: Solve for x
    x = 1,069,420,804/15,953
  6. Step 6: Final answer
    x = 67,035.72

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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.