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Finding the Third Proportional to 15,046 and 22,951

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Solution

The third proportional to 15,046 and 22,951 is: 35,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046 : 22,951 = 22,951 : x
  2. Step 2: Convert to fraction form
    15,046/22,951 = 22,951/x
  3. Step 3: Cross multiply
    15,046x = 22,951 × 22,951
  4. Step 4: Simplify right side
    15,046x = 526,748,401
  5. Step 5: Solve for x
    x = 526,748,401/15,046
  6. Step 6: Final answer
    x = 35,009.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.