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Finding the Third Proportional to 29,654 and 64,492

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Solution

The third proportional to 29,654 and 64,492 is: 140,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654 : 64,492 = 64,492 : x
  2. Step 2: Convert to fraction form
    29,654/64,492 = 64,492/x
  3. Step 3: Cross multiply
    29,654x = 64,492 × 64,492
  4. Step 4: Simplify right side
    29,654x = 4,159,218,064
  5. Step 5: Solve for x
    x = 4,159,218,064/29,654
  6. Step 6: Final answer
    x = 140,258.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.