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Finding the Third Proportional to 10,283.75 and 15,398.50

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Solution

The third proportional to 10,283.75 and 15,398.50 is: 23,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.75 : 15,398.50 = 15,398.50 : x
  2. Step 2: Convert to fraction form
    10,283.75/15,398.50 = 15,398.50/x
  3. Step 3: Cross multiply
    10,283.75x = 15,398.50 × 15,398.50
  4. Step 4: Simplify right side
    10,283.75x = 237,113,802.25
  5. Step 5: Solve for x
    x = 237,113,802.25/10,283.75
  6. Step 6: Final answer
    x = 23,057.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.