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Finding the Third Proportional to 30,132.50 and 46,656.75

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Solution

The third proportional to 30,132.50 and 46,656.75 is: 72,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,132.50 : 46,656.75 = 46,656.75 : x
  2. Step 2: Convert to fraction form
    30,132.50/46,656.75 = 46,656.75/x
  3. Step 3: Cross multiply
    30,132.50x = 46,656.75 × 46,656.75
  4. Step 4: Simplify right side
    30,132.50x = 2,176,852,320.56
  5. Step 5: Solve for x
    x = 2,176,852,320.56/30,132.50
  6. Step 6: Final answer
    x = 72,242.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.