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Finding the Third Proportional to 24,278.63 and 32,802.75

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Solution

The third proportional to 24,278.63 and 32,802.75 is: 44,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.63 : 32,802.75 = 32,802.75 : x
  2. Step 2: Convert to fraction form
    24,278.63/32,802.75 = 32,802.75/x
  3. Step 3: Cross multiply
    24,278.63x = 32,802.75 × 32,802.75
  4. Step 4: Simplify right side
    24,278.63x = 1,076,020,407.56
  5. Step 5: Solve for x
    x = 1,076,020,407.56/24,278.63
  6. Step 6: Final answer
    x = 44,319.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.