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Finding the Third Proportional to 48,535 and 75,394.50

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Solution

The third proportional to 48,535 and 75,394.50 is: 117,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,535 : 75,394.50 = 75,394.50 : x
  2. Step 2: Convert to fraction form
    48,535/75,394.50 = 75,394.50/x
  3. Step 3: Cross multiply
    48,535x = 75,394.50 × 75,394.50
  4. Step 4: Simplify right side
    48,535x = 5,684,330,630.25
  5. Step 5: Solve for x
    x = 5,684,330,630.25/48,535
  6. Step 6: Final answer
    x = 117,118.18

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Why These Related Problems?

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