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Finding the Third Proportional to 46,983.38 and 72,862.03

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Solution

The third proportional to 46,983.38 and 72,862.03 is: 112,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,983.38 : 72,862.03 = 72,862.03 : x
  2. Step 2: Convert to fraction form
    46,983.38/72,862.03 = 72,862.03/x
  3. Step 3: Cross multiply
    46,983.38x = 72,862.03 × 72,862.03
  4. Step 4: Simplify right side
    46,983.38x = 5,308,875,597.88
  5. Step 5: Solve for x
    x = 5,308,875,597.88/46,983.38
  6. Step 6: Final answer
    x = 112,994.77

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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.