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Finding the Third Proportional to 28,642 and 64,597

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Solution

The third proportional to 28,642 and 64,597 is: 145,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,642 : 64,597 = 64,597 : x
  2. Step 2: Convert to fraction form
    28,642/64,597 = 64,597/x
  3. Step 3: Cross multiply
    28,642x = 64,597 × 64,597
  4. Step 4: Simplify right side
    28,642x = 4,172,772,409
  5. Step 5: Solve for x
    x = 4,172,772,409/28,642
  6. Step 6: Final answer
    x = 145,687.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.