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Finding the Third Proportional to 45,492.75 and 72,002.25

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Solution

The third proportional to 45,492.75 and 72,002.25 is: 113,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,492.75 : 72,002.25 = 72,002.25 : x
  2. Step 2: Convert to fraction form
    45,492.75/72,002.25 = 72,002.25/x
  3. Step 3: Cross multiply
    45,492.75x = 72,002.25 × 72,002.25
  4. Step 4: Simplify right side
    45,492.75x = 5,184,324,005.06
  5. Step 5: Solve for x
    x = 5,184,324,005.06/45,492.75
  6. Step 6: Final answer
    x = 113,959.35

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.