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Finding the Third Proportional to 32,273.63 and 46,483.13

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Solution

The third proportional to 32,273.63 and 46,483.13 is: 66,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,273.63 : 46,483.13 = 46,483.13 : x
  2. Step 2: Convert to fraction form
    32,273.63/46,483.13 = 46,483.13/x
  3. Step 3: Cross multiply
    32,273.63x = 46,483.13 × 46,483.13
  4. Step 4: Simplify right side
    32,273.63x = 2,160,680,909.77
  5. Step 5: Solve for x
    x = 2,160,680,909.77/32,273.63
  6. Step 6: Final answer
    x = 66,948.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.