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Finding the Third Proportional to 21,434.63 and 32,972.06

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Solution

The third proportional to 21,434.63 and 32,972.06 is: 50,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434.63 : 32,972.06 = 32,972.06 : x
  2. Step 2: Convert to fraction form
    21,434.63/32,972.06 = 32,972.06/x
  3. Step 3: Cross multiply
    21,434.63x = 32,972.06 × 32,972.06
  4. Step 4: Simplify right side
    21,434.63x = 1,087,156,905.50
  5. Step 5: Solve for x
    x = 1,087,156,905.50/21,434.63
  6. Step 6: Final answer
    x = 50,719.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.