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Finding the Third Proportional to 29,776.50 and 46,064.25

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Solution

The third proportional to 29,776.50 and 46,064.25 is: 71,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776.50 : 46,064.25 = 46,064.25 : x
  2. Step 2: Convert to fraction form
    29,776.50/46,064.25 = 46,064.25/x
  3. Step 3: Cross multiply
    29,776.50x = 46,064.25 × 46,064.25
  4. Step 4: Simplify right side
    29,776.50x = 2,121,915,128.06
  5. Step 5: Solve for x
    x = 2,121,915,128.06/29,776.50
  6. Step 6: Final answer
    x = 71,261.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.