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Finding the Third Proportional to 44,457.50 and 68,535

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Solution

The third proportional to 44,457.50 and 68,535 is: 105,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,457.50 : 68,535 = 68,535 : x
  2. Step 2: Convert to fraction form
    44,457.50/68,535 = 68,535/x
  3. Step 3: Cross multiply
    44,457.50x = 68,535 × 68,535
  4. Step 4: Simplify right side
    44,457.50x = 4,697,046,225
  5. Step 5: Solve for x
    x = 4,697,046,225/44,457.50
  6. Step 6: Final answer
    x = 105,652.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.