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Finding the Third Proportional to 14,557.22 and 31,216.01

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Solution

The third proportional to 14,557.22 and 31,216.01 is: 66,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.22 : 31,216.01 = 31,216.01 : x
  2. Step 2: Convert to fraction form
    14,557.22/31,216.01 = 31,216.01/x
  3. Step 3: Cross multiply
    14,557.22x = 31,216.01 × 31,216.01
  4. Step 4: Simplify right side
    14,557.22x = 974,439,143.75
  5. Step 5: Solve for x
    x = 974,439,143.75/14,557.22
  6. Step 6: Final answer
    x = 66,938.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.