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Finding the Third Proportional to 29,613 and 64,140

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Solution

The third proportional to 29,613 and 64,140 is: 138,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,613 : 64,140 = 64,140 : x
  2. Step 2: Convert to fraction form
    29,613/64,140 = 64,140/x
  3. Step 3: Cross multiply
    29,613x = 64,140 × 64,140
  4. Step 4: Simplify right side
    29,613x = 4,113,939,600
  5. Step 5: Solve for x
    x = 4,113,939,600/29,613
  6. Step 6: Final answer
    x = 138,923.43

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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.