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Finding the Third Proportional to 20,915 and 45,113

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Solution

The third proportional to 20,915 and 45,113 is: 97,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915 : 45,113 = 45,113 : x
  2. Step 2: Convert to fraction form
    20,915/45,113 = 45,113/x
  3. Step 3: Cross multiply
    20,915x = 45,113 × 45,113
  4. Step 4: Simplify right side
    20,915x = 2,035,182,769
  5. Step 5: Solve for x
    x = 2,035,182,769/20,915
  6. Step 6: Final answer
    x = 97,307.33

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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.