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Finding the Third Proportional to 14,312 and 30,160

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Solution

The third proportional to 14,312 and 30,160 is: 63,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312 : 30,160 = 30,160 : x
  2. Step 2: Convert to fraction form
    14,312/30,160 = 30,160/x
  3. Step 3: Cross multiply
    14,312x = 30,160 × 30,160
  4. Step 4: Simplify right side
    14,312x = 909,625,600
  5. Step 5: Solve for x
    x = 909,625,600/14,312
  6. Step 6: Final answer
    x = 63,556.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.