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Finding the Third Proportional to 29,497 and 64,178

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Solution

The third proportional to 29,497 and 64,178 is: 139,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,497 : 64,178 = 64,178 : x
  2. Step 2: Convert to fraction form
    29,497/64,178 = 64,178/x
  3. Step 3: Cross multiply
    29,497x = 64,178 × 64,178
  4. Step 4: Simplify right side
    29,497x = 4,118,815,684
  5. Step 5: Solve for x
    x = 4,118,815,684/29,497
  6. Step 6: Final answer
    x = 139,635.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.