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Finding the Third Proportional to 35,473.13 and 52,902.19

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Solution

The third proportional to 35,473.13 and 52,902.19 is: 78,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,473.13 : 52,902.19 = 52,902.19 : x
  2. Step 2: Convert to fraction form
    35,473.13/52,902.19 = 52,902.19/x
  3. Step 3: Cross multiply
    35,473.13x = 52,902.19 × 52,902.19
  4. Step 4: Simplify right side
    35,473.13x = 2,798,641,442.29
  5. Step 5: Solve for x
    x = 2,798,641,442.29/35,473.13
  6. Step 6: Final answer
    x = 78,894.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.