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Finding the Third Proportional to 29,533.50 and 64,251

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Solution

The third proportional to 29,533.50 and 64,251 is: 139,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,533.50 : 64,251 = 64,251 : x
  2. Step 2: Convert to fraction form
    29,533.50/64,251 = 64,251/x
  3. Step 3: Cross multiply
    29,533.50x = 64,251 × 64,251
  4. Step 4: Simplify right side
    29,533.50x = 4,128,191,001
  5. Step 5: Solve for x
    x = 4,128,191,001/29,533.50
  6. Step 6: Final answer
    x = 139,779.94

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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.