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Finding the Third Proportional to 48,417 and 72,601.50

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Solution

The third proportional to 48,417 and 72,601.50 is: 108,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,417 : 72,601.50 = 72,601.50 : x
  2. Step 2: Convert to fraction form
    48,417/72,601.50 = 72,601.50/x
  3. Step 3: Cross multiply
    48,417x = 72,601.50 × 72,601.50
  4. Step 4: Simplify right side
    48,417x = 5,270,977,802.25
  5. Step 5: Solve for x
    x = 5,270,977,802.25/48,417
  6. Step 6: Final answer
    x = 108,866.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.