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Finding the Third Proportional to 29,038.50 and 45,524.53

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Solution

The third proportional to 29,038.50 and 45,524.53 is: 71,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038.50 : 45,524.53 = 45,524.53 : x
  2. Step 2: Convert to fraction form
    29,038.50/45,524.53 = 45,524.53/x
  3. Step 3: Cross multiply
    29,038.50x = 45,524.53 × 45,524.53
  4. Step 4: Simplify right side
    29,038.50x = 2,072,482,945.53
  5. Step 5: Solve for x
    x = 2,072,482,945.53/29,038.50
  6. Step 6: Final answer
    x = 71,370.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.