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Finding the Third Proportional to 36,592 and 56,664

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Solution

The third proportional to 36,592 and 56,664 is: 87,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,592 : 56,664 = 56,664 : x
  2. Step 2: Convert to fraction form
    36,592/56,664 = 56,664/x
  3. Step 3: Cross multiply
    36,592x = 56,664 × 56,664
  4. Step 4: Simplify right side
    36,592x = 3,210,808,896
  5. Step 5: Solve for x
    x = 3,210,808,896/36,592
  6. Step 6: Final answer
    x = 87,746.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.