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Finding the Third Proportional to 10,263.75 and 22,062.25

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Solution

The third proportional to 10,263.75 and 22,062.25 is: 47,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.75 : 22,062.25 = 22,062.25 : x
  2. Step 2: Convert to fraction form
    10,263.75/22,062.25 = 22,062.25/x
  3. Step 3: Cross multiply
    10,263.75x = 22,062.25 × 22,062.25
  4. Step 4: Simplify right side
    10,263.75x = 486,742,875.06
  5. Step 5: Solve for x
    x = 486,742,875.06/10,263.75
  6. Step 6: Final answer
    x = 47,423.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.