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Finding the Third Proportional to 36,284 and 51,360

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Solution

The third proportional to 36,284 and 51,360 is: 72,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284 : 51,360 = 51,360 : x
  2. Step 2: Convert to fraction form
    36,284/51,360 = 51,360/x
  3. Step 3: Cross multiply
    36,284x = 51,360 × 51,360
  4. Step 4: Simplify right side
    36,284x = 2,637,849,600
  5. Step 5: Solve for x
    x = 2,637,849,600/36,284
  6. Step 6: Final answer
    x = 72,700.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.