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Finding the Third Proportional to 46,033.88 and 72,778.50

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Solution

The third proportional to 46,033.88 and 72,778.50 is: 115,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,033.88 : 72,778.50 = 72,778.50 : x
  2. Step 2: Convert to fraction form
    46,033.88/72,778.50 = 72,778.50/x
  3. Step 3: Cross multiply
    46,033.88x = 72,778.50 × 72,778.50
  4. Step 4: Simplify right side
    46,033.88x = 5,296,710,062.25
  5. Step 5: Solve for x
    x = 5,296,710,062.25/46,033.88
  6. Step 6: Final answer
    x = 115,061.14

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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.