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Finding the Third Proportional to 32,622.75 and 49,017.66

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Solution

The third proportional to 32,622.75 and 49,017.66 is: 73,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,622.75 : 49,017.66 = 49,017.66 : x
  2. Step 2: Convert to fraction form
    32,622.75/49,017.66 = 49,017.66/x
  3. Step 3: Cross multiply
    32,622.75x = 49,017.66 × 49,017.66
  4. Step 4: Simplify right side
    32,622.75x = 2,402,730,624.24
  5. Step 5: Solve for x
    x = 2,402,730,624.24/32,622.75
  6. Step 6: Final answer
    x = 73,652.00

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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.