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Finding the Third Proportional to 46,666.50 and 72,063

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Solution

The third proportional to 46,666.50 and 72,063 is: 111,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,666.50 : 72,063 = 72,063 : x
  2. Step 2: Convert to fraction form
    46,666.50/72,063 = 72,063/x
  3. Step 3: Cross multiply
    46,666.50x = 72,063 × 72,063
  4. Step 4: Simplify right side
    46,666.50x = 5,193,075,969
  5. Step 5: Solve for x
    x = 5,193,075,969/46,666.50
  6. Step 6: Final answer
    x = 111,280.60

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Why These Related Problems?

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