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Finding the Third Proportional to 29,111 and 45,089.50

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Solution

The third proportional to 29,111 and 45,089.50 is: 69,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,111 : 45,089.50 = 45,089.50 : x
  2. Step 2: Convert to fraction form
    29,111/45,089.50 = 45,089.50/x
  3. Step 3: Cross multiply
    29,111x = 45,089.50 × 45,089.50
  4. Step 4: Simplify right side
    29,111x = 2,033,063,010.25
  5. Step 5: Solve for x
    x = 2,033,063,010.25/29,111
  6. Step 6: Final answer
    x = 69,838.31

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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.