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Finding the Third Proportional to 43,288 and 64,928

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Solution

The third proportional to 43,288 and 64,928 is: 97,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,288 : 64,928 = 64,928 : x
  2. Step 2: Convert to fraction form
    43,288/64,928 = 64,928/x
  3. Step 3: Cross multiply
    43,288x = 64,928 × 64,928
  4. Step 4: Simplify right side
    43,288x = 4,215,645,184
  5. Step 5: Solve for x
    x = 4,215,645,184/43,288
  6. Step 6: Final answer
    x = 97,386.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.