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Finding the Third Proportional to 46,663.50 and 72,912

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Solution

The third proportional to 46,663.50 and 72,912 is: 113,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,663.50 : 72,912 = 72,912 : x
  2. Step 2: Convert to fraction form
    46,663.50/72,912 = 72,912/x
  3. Step 3: Cross multiply
    46,663.50x = 72,912 × 72,912
  4. Step 4: Simplify right side
    46,663.50x = 5,316,159,744
  5. Step 5: Solve for x
    x = 5,316,159,744/46,663.50
  6. Step 6: Final answer
    x = 113,925.44

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.