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Finding the Third Proportional to 29,650 and 64,484

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Solution

The third proportional to 29,650 and 64,484 is: 140,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,650 : 64,484 = 64,484 : x
  2. Step 2: Convert to fraction form
    29,650/64,484 = 64,484/x
  3. Step 3: Cross multiply
    29,650x = 64,484 × 64,484
  4. Step 4: Simplify right side
    29,650x = 4,158,186,256
  5. Step 5: Solve for x
    x = 4,158,186,256/29,650
  6. Step 6: Final answer
    x = 140,242.37

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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.