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Finding the Third Proportional to 14,562 and 31,201.50

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Solution

The third proportional to 14,562 and 31,201.50 is: 66,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 31,201.50 = 31,201.50 : x
  2. Step 2: Convert to fraction form
    14,562/31,201.50 = 31,201.50/x
  3. Step 3: Cross multiply
    14,562x = 31,201.50 × 31,201.50
  4. Step 4: Simplify right side
    14,562x = 973,533,602.25
  5. Step 5: Solve for x
    x = 973,533,602.25/14,562
  6. Step 6: Final answer
    x = 66,854.39

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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.