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Finding the Third Proportional to 35,752 and 55,596

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Solution

The third proportional to 35,752 and 55,596 is: 86,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,752 : 55,596 = 55,596 : x
  2. Step 2: Convert to fraction form
    35,752/55,596 = 55,596/x
  3. Step 3: Cross multiply
    35,752x = 55,596 × 55,596
  4. Step 4: Simplify right side
    35,752x = 3,090,915,216
  5. Step 5: Solve for x
    x = 3,090,915,216/35,752
  6. Step 6: Final answer
    x = 86,454.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.