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Finding the Third Proportional to 13,572 and 29,337.75

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Solution

The third proportional to 13,572 and 29,337.75 is: 63,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572 : 29,337.75 = 29,337.75 : x
  2. Step 2: Convert to fraction form
    13,572/29,337.75 = 29,337.75/x
  3. Step 3: Cross multiply
    13,572x = 29,337.75 × 29,337.75
  4. Step 4: Simplify right side
    13,572x = 860,703,575.06
  5. Step 5: Solve for x
    x = 860,703,575.06/13,572
  6. Step 6: Final answer
    x = 63,417.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.