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Finding the Third Proportional to 28,718 and 64,452

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Solution

The third proportional to 28,718 and 64,452 is: 144,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,718 : 64,452 = 64,452 : x
  2. Step 2: Convert to fraction form
    28,718/64,452 = 64,452/x
  3. Step 3: Cross multiply
    28,718x = 64,452 × 64,452
  4. Step 4: Simplify right side
    28,718x = 4,154,060,304
  5. Step 5: Solve for x
    x = 4,154,060,304/28,718
  6. Step 6: Final answer
    x = 144,650.06

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.