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Finding the Third Proportional to 29,812.50 and 63,178

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Solution

The third proportional to 29,812.50 and 63,178 is: 133,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,812.50 : 63,178 = 63,178 : x
  2. Step 2: Convert to fraction form
    29,812.50/63,178 = 63,178/x
  3. Step 3: Cross multiply
    29,812.50x = 63,178 × 63,178
  4. Step 4: Simplify right side
    29,812.50x = 3,991,459,684
  5. Step 5: Solve for x
    x = 3,991,459,684/29,812.50
  6. Step 6: Final answer
    x = 133,885.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.