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Finding the Third Proportional to 18,585 and 31,225.50

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Solution

The third proportional to 18,585 and 31,225.50 is: 52,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585 : 31,225.50 = 31,225.50 : x
  2. Step 2: Convert to fraction form
    18,585/31,225.50 = 31,225.50/x
  3. Step 3: Cross multiply
    18,585x = 31,225.50 × 31,225.50
  4. Step 4: Simplify right side
    18,585x = 975,031,850.25
  5. Step 5: Solve for x
    x = 975,031,850.25/18,585
  6. Step 6: Final answer
    x = 52,463.38

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.