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Finding the Third Proportional to 15,996 and 32,640

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Solution

The third proportional to 15,996 and 32,640 is: 66,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,996 : 32,640 = 32,640 : x
  2. Step 2: Convert to fraction form
    15,996/32,640 = 32,640/x
  3. Step 3: Cross multiply
    15,996x = 32,640 × 32,640
  4. Step 4: Simplify right side
    15,996x = 1,065,369,600
  5. Step 5: Solve for x
    x = 1,065,369,600/15,996
  6. Step 6: Final answer
    x = 66,602.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.