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Finding the Third Proportional to 29,758 and 64,700

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Solution

The third proportional to 29,758 and 64,700 is: 140,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758 : 64,700 = 64,700 : x
  2. Step 2: Convert to fraction form
    29,758/64,700 = 64,700/x
  3. Step 3: Cross multiply
    29,758x = 64,700 × 64,700
  4. Step 4: Simplify right side
    29,758x = 4,186,090,000
  5. Step 5: Solve for x
    x = 4,186,090,000/29,758
  6. Step 6: Final answer
    x = 140,671.08

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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.