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Finding the Third Proportional to 25,998 and 60,652.50

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Solution

The third proportional to 25,998 and 60,652.50 is: 141,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998 : 60,652.50 = 60,652.50 : x
  2. Step 2: Convert to fraction form
    25,998/60,652.50 = 60,652.50/x
  3. Step 3: Cross multiply
    25,998x = 60,652.50 × 60,652.50
  4. Step 4: Simplify right side
    25,998x = 3,678,725,756.25
  5. Step 5: Solve for x
    x = 3,678,725,756.25/25,998
  6. Step 6: Final answer
    x = 141,500.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.