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Finding the Third Proportional to 36,592 and 53,585

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Solution

The third proportional to 36,592 and 53,585 is: 78,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,592 : 53,585 = 53,585 : x
  2. Step 2: Convert to fraction form
    36,592/53,585 = 53,585/x
  3. Step 3: Cross multiply
    36,592x = 53,585 × 53,585
  4. Step 4: Simplify right side
    36,592x = 2,871,352,225
  5. Step 5: Solve for x
    x = 2,871,352,225/36,592
  6. Step 6: Final answer
    x = 78,469.40

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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.