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Finding the Third Proportional to 48,735 and 74,407.50

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Solution

The third proportional to 48,735 and 74,407.50 is: 113,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,735 : 74,407.50 = 74,407.50 : x
  2. Step 2: Convert to fraction form
    48,735/74,407.50 = 74,407.50/x
  3. Step 3: Cross multiply
    48,735x = 74,407.50 × 74,407.50
  4. Step 4: Simplify right side
    48,735x = 5,536,476,056.25
  5. Step 5: Solve for x
    x = 5,536,476,056.25/48,735
  6. Step 6: Final answer
    x = 113,603.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.