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Finding the Third Proportional to 29,835.84 and 64,341.84

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Solution

The third proportional to 29,835.84 and 64,341.84 is: 138,755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.84 : 64,341.84 = 64,341.84 : x
  2. Step 2: Convert to fraction form
    29,835.84/64,341.84 = 64,341.84/x
  3. Step 3: Cross multiply
    29,835.84x = 64,341.84 × 64,341.84
  4. Step 4: Simplify right side
    29,835.84x = 4,139,872,857.15
  5. Step 5: Solve for x
    x = 4,139,872,857.15/29,835.84
  6. Step 6: Final answer
    x = 138,755.01

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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.