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Finding the Third Proportional to 44,323 and 65,188.50

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Solution

The third proportional to 44,323 and 65,188.50 is: 95,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,323 : 65,188.50 = 65,188.50 : x
  2. Step 2: Convert to fraction form
    44,323/65,188.50 = 65,188.50/x
  3. Step 3: Cross multiply
    44,323x = 65,188.50 × 65,188.50
  4. Step 4: Simplify right side
    44,323x = 4,249,540,532.25
  5. Step 5: Solve for x
    x = 4,249,540,532.25/44,323
  6. Step 6: Final answer
    x = 95,876.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.