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Finding the Third Proportional to 28,944 and 39,090

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Solution

The third proportional to 28,944 and 39,090 is: 52,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,944 : 39,090 = 39,090 : x
  2. Step 2: Convert to fraction form
    28,944/39,090 = 39,090/x
  3. Step 3: Cross multiply
    28,944x = 39,090 × 39,090
  4. Step 4: Simplify right side
    28,944x = 1,528,028,100
  5. Step 5: Solve for x
    x = 1,528,028,100/28,944
  6. Step 6: Final answer
    x = 52,792.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.