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Finding the Third Proportional to 25,428.50 and 36,988

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Solution

The third proportional to 25,428.50 and 36,988 is: 53,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,428.50 : 36,988 = 36,988 : x
  2. Step 2: Convert to fraction form
    25,428.50/36,988 = 36,988/x
  3. Step 3: Cross multiply
    25,428.50x = 36,988 × 36,988
  4. Step 4: Simplify right side
    25,428.50x = 1,368,112,144
  5. Step 5: Solve for x
    x = 1,368,112,144/25,428.50
  6. Step 6: Final answer
    x = 53,802.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.