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Finding the Third Proportional to 30,265 and 46,971.50

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Solution

The third proportional to 30,265 and 46,971.50 is: 72,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,265 : 46,971.50 = 46,971.50 : x
  2. Step 2: Convert to fraction form
    30,265/46,971.50 = 46,971.50/x
  3. Step 3: Cross multiply
    30,265x = 46,971.50 × 46,971.50
  4. Step 4: Simplify right side
    30,265x = 2,206,321,812.25
  5. Step 5: Solve for x
    x = 2,206,321,812.25/30,265
  6. Step 6: Final answer
    x = 72,900.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.