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Finding the Third Proportional to 15,610 and 23,613

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Solution

The third proportional to 15,610 and 23,613 is: 35,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,610 : 23,613 = 23,613 : x
  2. Step 2: Convert to fraction form
    15,610/23,613 = 23,613/x
  3. Step 3: Cross multiply
    15,610x = 23,613 × 23,613
  4. Step 4: Simplify right side
    15,610x = 557,573,769
  5. Step 5: Solve for x
    x = 557,573,769/15,610
  6. Step 6: Final answer
    x = 35,719.01

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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.