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Finding the Third Proportional to 29,835 and 64,995.75

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Solution

The third proportional to 29,835 and 64,995.75 is: 141,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835 : 64,995.75 = 64,995.75 : x
  2. Step 2: Convert to fraction form
    29,835/64,995.75 = 64,995.75/x
  3. Step 3: Cross multiply
    29,835x = 64,995.75 × 64,995.75
  4. Step 4: Simplify right side
    29,835x = 4,224,447,518.06
  5. Step 5: Solve for x
    x = 4,224,447,518.06/29,835
  6. Step 6: Final answer
    x = 141,593.68

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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.