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Finding the Third Proportional to 38,964 and 60,309

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Solution

The third proportional to 38,964 and 60,309 is: 93,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964 : 60,309 = 60,309 : x
  2. Step 2: Convert to fraction form
    38,964/60,309 = 60,309/x
  3. Step 3: Cross multiply
    38,964x = 60,309 × 60,309
  4. Step 4: Simplify right side
    38,964x = 3,637,175,481
  5. Step 5: Solve for x
    x = 3,637,175,481/38,964
  6. Step 6: Final answer
    x = 93,347.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.