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Finding the Third Proportional to 30,188.53 and 44,360.16

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Solution

The third proportional to 30,188.53 and 44,360.16 is: 65,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.53 : 44,360.16 = 44,360.16 : x
  2. Step 2: Convert to fraction form
    30,188.53/44,360.16 = 44,360.16/x
  3. Step 3: Cross multiply
    30,188.53x = 44,360.16 × 44,360.16
  4. Step 4: Simplify right side
    30,188.53x = 1,967,823,462.52
  5. Step 5: Solve for x
    x = 1,967,823,462.52/30,188.53
  6. Step 6: Final answer
    x = 65,184.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.