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Finding the Third Proportional to 45,822.38 and 70,952.63

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Solution

The third proportional to 45,822.38 and 70,952.63 is: 109,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,822.38 : 70,952.63 = 70,952.63 : x
  2. Step 2: Convert to fraction form
    45,822.38/70,952.63 = 70,952.63/x
  3. Step 3: Cross multiply
    45,822.38x = 70,952.63 × 70,952.63
  4. Step 4: Simplify right side
    45,822.38x = 5,034,274,994.39
  5. Step 5: Solve for x
    x = 5,034,274,994.39/45,822.38
  6. Step 6: Final answer
    x = 109,864.99

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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.