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Finding the Third Proportional to 25,574 and 55,585

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Solution

The third proportional to 25,574 and 55,585 is: 120,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574 : 55,585 = 55,585 : x
  2. Step 2: Convert to fraction form
    25,574/55,585 = 55,585/x
  3. Step 3: Cross multiply
    25,574x = 55,585 × 55,585
  4. Step 4: Simplify right side
    25,574x = 3,089,692,225
  5. Step 5: Solve for x
    x = 3,089,692,225/25,574
  6. Step 6: Final answer
    x = 120,813.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.