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Finding the Third Proportional to 45,871.47 and 64,597.66

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Solution

The third proportional to 45,871.47 and 64,597.66 is: 90,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,871.47 : 64,597.66 = 64,597.66 : x
  2. Step 2: Convert to fraction form
    45,871.47/64,597.66 = 64,597.66/x
  3. Step 3: Cross multiply
    45,871.47x = 64,597.66 × 64,597.66
  4. Step 4: Simplify right side
    45,871.47x = 4,172,857,445.33
  5. Step 5: Solve for x
    x = 4,172,857,445.33/45,871.47
  6. Step 6: Final answer
    x = 90,968.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.