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Finding the Third Proportional to 48,477 and 74,487.50

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Solution

The third proportional to 48,477 and 74,487.50 is: 114,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,477 : 74,487.50 = 74,487.50 : x
  2. Step 2: Convert to fraction form
    48,477/74,487.50 = 74,487.50/x
  3. Step 3: Cross multiply
    48,477x = 74,487.50 × 74,487.50
  4. Step 4: Simplify right side
    48,477x = 5,548,387,656.25
  5. Step 5: Solve for x
    x = 5,548,387,656.25/48,477
  6. Step 6: Final answer
    x = 114,454.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.