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Finding the Third Proportional to 29,319 and 64,014.38

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Solution

The third proportional to 29,319 and 64,014.38 is: 139,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,319 : 64,014.38 = 64,014.38 : x
  2. Step 2: Convert to fraction form
    29,319/64,014.38 = 64,014.38/x
  3. Step 3: Cross multiply
    29,319x = 64,014.38 × 64,014.38
  4. Step 4: Simplify right side
    29,319x = 4,097,840,206.64
  5. Step 5: Solve for x
    x = 4,097,840,206.64/29,319
  6. Step 6: Final answer
    x = 139,767.39

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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.