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Finding the Third Proportional to 53,047.50 and 72,087

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Solution

The third proportional to 53,047.50 and 72,087 is: 97,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,047.50 : 72,087 = 72,087 : x
  2. Step 2: Convert to fraction form
    53,047.50/72,087 = 72,087/x
  3. Step 3: Cross multiply
    53,047.50x = 72,087 × 72,087
  4. Step 4: Simplify right side
    53,047.50x = 5,196,535,569
  5. Step 5: Solve for x
    x = 5,196,535,569/53,047.50
  6. Step 6: Final answer
    x = 97,960.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.