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Finding the Third Proportional to 15,024 and 32,640

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Solution

The third proportional to 15,024 and 32,640 is: 70,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024 : 32,640 = 32,640 : x
  2. Step 2: Convert to fraction form
    15,024/32,640 = 32,640/x
  3. Step 3: Cross multiply
    15,024x = 32,640 × 32,640
  4. Step 4: Simplify right side
    15,024x = 1,065,369,600
  5. Step 5: Solve for x
    x = 1,065,369,600/15,024
  6. Step 6: Final answer
    x = 70,911.18

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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.