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Finding the Third Proportional to 36,592 and 56,490

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Solution

The third proportional to 36,592 and 56,490 is: 87,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,592 : 56,490 = 56,490 : x
  2. Step 2: Convert to fraction form
    36,592/56,490 = 56,490/x
  3. Step 3: Cross multiply
    36,592x = 56,490 × 56,490
  4. Step 4: Simplify right side
    36,592x = 3,191,120,100
  5. Step 5: Solve for x
    x = 3,191,120,100/36,592
  6. Step 6: Final answer
    x = 87,208.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.