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Finding the Third Proportional to 24,375 and 35,640

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Solution

The third proportional to 24,375 and 35,640 is: 52,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375 : 35,640 = 35,640 : x
  2. Step 2: Convert to fraction form
    24,375/35,640 = 35,640/x
  3. Step 3: Cross multiply
    24,375x = 35,640 × 35,640
  4. Step 4: Simplify right side
    24,375x = 1,270,209,600
  5. Step 5: Solve for x
    x = 1,270,209,600/24,375
  6. Step 6: Final answer
    x = 52,111.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.