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Finding the Third Proportional to 29,652 and 44,430.50

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Solution

The third proportional to 29,652 and 44,430.50 is: 66,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,652 : 44,430.50 = 44,430.50 : x
  2. Step 2: Convert to fraction form
    29,652/44,430.50 = 44,430.50/x
  3. Step 3: Cross multiply
    29,652x = 44,430.50 × 44,430.50
  4. Step 4: Simplify right side
    29,652x = 1,974,069,330.25
  5. Step 5: Solve for x
    x = 1,974,069,330.25/29,652
  6. Step 6: Final answer
    x = 66,574.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.