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Finding the Third Proportional to 29,622.50 and 64,985.25

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Solution

The third proportional to 29,622.50 and 64,985.25 is: 142,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,622.50 : 64,985.25 = 64,985.25 : x
  2. Step 2: Convert to fraction form
    29,622.50/64,985.25 = 64,985.25/x
  3. Step 3: Cross multiply
    29,622.50x = 64,985.25 × 64,985.25
  4. Step 4: Simplify right side
    29,622.50x = 4,223,082,717.56
  5. Step 5: Solve for x
    x = 4,223,082,717.56/29,622.50
  6. Step 6: Final answer
    x = 142,563.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.