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Finding the Third Proportional to 29,740.36 and 64,381.22

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Solution

The third proportional to 29,740.36 and 64,381.22 is: 139,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,740.36 : 64,381.22 = 64,381.22 : x
  2. Step 2: Convert to fraction form
    29,740.36/64,381.22 = 64,381.22/x
  3. Step 3: Cross multiply
    29,740.36x = 64,381.22 × 64,381.22
  4. Step 4: Simplify right side
    29,740.36x = 4,144,941,327.74
  5. Step 5: Solve for x
    x = 4,144,941,327.74/29,740.36
  6. Step 6: Final answer
    x = 139,370.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.