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Finding the Third Proportional to 11,402 and 24,260

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Solution

The third proportional to 11,402 and 24,260 is: 51,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402 : 24,260 = 24,260 : x
  2. Step 2: Convert to fraction form
    11,402/24,260 = 24,260/x
  3. Step 3: Cross multiply
    11,402x = 24,260 × 24,260
  4. Step 4: Simplify right side
    11,402x = 588,547,600
  5. Step 5: Solve for x
    x = 588,547,600/11,402
  6. Step 6: Final answer
    x = 51,617.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.