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Finding the Third Proportional to 28,410 and 42,597

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Solution

The third proportional to 28,410 and 42,597 is: 63,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,410 : 42,597 = 42,597 : x
  2. Step 2: Convert to fraction form
    28,410/42,597 = 42,597/x
  3. Step 3: Cross multiply
    28,410x = 42,597 × 42,597
  4. Step 4: Simplify right side
    28,410x = 1,814,504,409
  5. Step 5: Solve for x
    x = 1,814,504,409/28,410
  6. Step 6: Final answer
    x = 63,868.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.