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Finding the Third Proportional to 43,565 and 64,072

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Solution

The third proportional to 43,565 and 64,072 is: 94,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,565 : 64,072 = 64,072 : x
  2. Step 2: Convert to fraction form
    43,565/64,072 = 64,072/x
  3. Step 3: Cross multiply
    43,565x = 64,072 × 64,072
  4. Step 4: Simplify right side
    43,565x = 4,105,221,184
  5. Step 5: Solve for x
    x = 4,105,221,184/43,565
  6. Step 6: Final answer
    x = 94,232.09

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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.