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Finding the Third Proportional to 46,753.50 and 74,092.50

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Solution

The third proportional to 46,753.50 and 74,092.50 is: 117,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,753.50 : 74,092.50 = 74,092.50 : x
  2. Step 2: Convert to fraction form
    46,753.50/74,092.50 = 74,092.50/x
  3. Step 3: Cross multiply
    46,753.50x = 74,092.50 × 74,092.50
  4. Step 4: Simplify right side
    46,753.50x = 5,489,698,556.25
  5. Step 5: Solve for x
    x = 5,489,698,556.25/46,753.50
  6. Step 6: Final answer
    x = 117,417.92

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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.