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Finding the Third Proportional to 29,101.50 and 46,154.25

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Solution

The third proportional to 29,101.50 and 46,154.25 is: 73,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101.50 : 46,154.25 = 46,154.25 : x
  2. Step 2: Convert to fraction form
    29,101.50/46,154.25 = 46,154.25/x
  3. Step 3: Cross multiply
    29,101.50x = 46,154.25 × 46,154.25
  4. Step 4: Simplify right side
    29,101.50x = 2,130,214,793.06
  5. Step 5: Solve for x
    x = 2,130,214,793.06/29,101.50
  6. Step 6: Final answer
    x = 73,199.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.