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Finding the Third Proportional to 35,964 and 78,484

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Solution

The third proportional to 35,964 and 78,484 is: 171,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,964 : 78,484 = 78,484 : x
  2. Step 2: Convert to fraction form
    35,964/78,484 = 78,484/x
  3. Step 3: Cross multiply
    35,964x = 78,484 × 78,484
  4. Step 4: Simplify right side
    35,964x = 6,159,738,256
  5. Step 5: Solve for x
    x = 6,159,738,256/35,964
  6. Step 6: Final answer
    x = 171,275.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.