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Finding the Third Proportional to 29,088 and 54,526.50

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Solution

The third proportional to 29,088 and 54,526.50 is: 102,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,088 : 54,526.50 = 54,526.50 : x
  2. Step 2: Convert to fraction form
    29,088/54,526.50 = 54,526.50/x
  3. Step 3: Cross multiply
    29,088x = 54,526.50 × 54,526.50
  4. Step 4: Simplify right side
    29,088x = 2,973,139,202.25
  5. Step 5: Solve for x
    x = 2,973,139,202.25/29,088
  6. Step 6: Final answer
    x = 102,211.88

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.