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Finding the Third Proportional to 14,416 and 23,130

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Solution

The third proportional to 14,416 and 23,130 is: 37,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416 : 23,130 = 23,130 : x
  2. Step 2: Convert to fraction form
    14,416/23,130 = 23,130/x
  3. Step 3: Cross multiply
    14,416x = 23,130 × 23,130
  4. Step 4: Simplify right side
    14,416x = 534,996,900
  5. Step 5: Solve for x
    x = 534,996,900/14,416
  6. Step 6: Final answer
    x = 37,111.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.