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Finding the Third Proportional to 28,506 and 65,984

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Solution

The third proportional to 28,506 and 65,984 is: 152,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,506 : 65,984 = 65,984 : x
  2. Step 2: Convert to fraction form
    28,506/65,984 = 65,984/x
  3. Step 3: Cross multiply
    28,506x = 65,984 × 65,984
  4. Step 4: Simplify right side
    28,506x = 4,353,888,256
  5. Step 5: Solve for x
    x = 4,353,888,256/28,506
  6. Step 6: Final answer
    x = 152,735.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.