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Finding the Third Proportional to 43,160 and 63,584

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Solution

The third proportional to 43,160 and 63,584 is: 93,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,160 : 63,584 = 63,584 : x
  2. Step 2: Convert to fraction form
    43,160/63,584 = 63,584/x
  3. Step 3: Cross multiply
    43,160x = 63,584 × 63,584
  4. Step 4: Simplify right side
    43,160x = 4,042,925,056
  5. Step 5: Solve for x
    x = 4,042,925,056/43,160
  6. Step 6: Final answer
    x = 93,672.96

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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.