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Finding the Third Proportional to 14,802.75 and 28,856.25

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Solution

The third proportional to 14,802.75 and 28,856.25 is: 56,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.75 : 28,856.25 = 28,856.25 : x
  2. Step 2: Convert to fraction form
    14,802.75/28,856.25 = 28,856.25/x
  3. Step 3: Cross multiply
    14,802.75x = 28,856.25 × 28,856.25
  4. Step 4: Simplify right side
    14,802.75x = 832,683,164.06
  5. Step 5: Solve for x
    x = 832,683,164.06/14,802.75
  6. Step 6: Final answer
    x = 56,251.92

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.