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Finding the Third Proportional to 42,925.50 and 65,664

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Solution

The third proportional to 42,925.50 and 65,664 is: 100,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,925.50 : 65,664 = 65,664 : x
  2. Step 2: Convert to fraction form
    42,925.50/65,664 = 65,664/x
  3. Step 3: Cross multiply
    42,925.50x = 65,664 × 65,664
  4. Step 4: Simplify right side
    42,925.50x = 4,311,760,896
  5. Step 5: Solve for x
    x = 4,311,760,896/42,925.50
  6. Step 6: Final answer
    x = 100,447.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.