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Finding the Third Proportional to 15,585 and 25,069.50

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Solution

The third proportional to 15,585 and 25,069.50 is: 40,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585 : 25,069.50 = 25,069.50 : x
  2. Step 2: Convert to fraction form
    15,585/25,069.50 = 25,069.50/x
  3. Step 3: Cross multiply
    15,585x = 25,069.50 × 25,069.50
  4. Step 4: Simplify right side
    15,585x = 628,479,830.25
  5. Step 5: Solve for x
    x = 628,479,830.25/15,585
  6. Step 6: Final answer
    x = 40,325.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.