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Finding the Third Proportional to 14,264.63 and 30,784.69

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Solution

The third proportional to 14,264.63 and 30,784.69 is: 66,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.63 : 30,784.69 = 30,784.69 : x
  2. Step 2: Convert to fraction form
    14,264.63/30,784.69 = 30,784.69/x
  3. Step 3: Cross multiply
    14,264.63x = 30,784.69 × 30,784.69
  4. Step 4: Simplify right side
    14,264.63x = 947,696,984.47
  5. Step 5: Solve for x
    x = 947,696,984.47/14,264.63
  6. Step 6: Final answer
    x = 66,436.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.