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Finding the Third Proportional to 46,607.50 and 73,835.50

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Solution

The third proportional to 46,607.50 and 73,835.50 is: 116,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,607.50 : 73,835.50 = 73,835.50 : x
  2. Step 2: Convert to fraction form
    46,607.50/73,835.50 = 73,835.50/x
  3. Step 3: Cross multiply
    46,607.50x = 73,835.50 × 73,835.50
  4. Step 4: Simplify right side
    46,607.50x = 5,451,681,060.25
  5. Step 5: Solve for x
    x = 5,451,681,060.25/46,607.50
  6. Step 6: Final answer
    x = 116,970.04

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.