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Finding the Third Proportional to 10,402 and 15,735

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Solution

The third proportional to 10,402 and 15,735 is: 23,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402 : 15,735 = 15,735 : x
  2. Step 2: Convert to fraction form
    10,402/15,735 = 15,735/x
  3. Step 3: Cross multiply
    10,402x = 15,735 × 15,735
  4. Step 4: Simplify right side
    10,402x = 247,590,225
  5. Step 5: Solve for x
    x = 247,590,225/10,402
  6. Step 6: Final answer
    x = 23,802.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.