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Finding the Third Proportional to 35,438 and 77,464

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Solution

The third proportional to 35,438 and 77,464 is: 169,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,438 : 77,464 = 77,464 : x
  2. Step 2: Convert to fraction form
    35,438/77,464 = 77,464/x
  3. Step 3: Cross multiply
    35,438x = 77,464 × 77,464
  4. Step 4: Simplify right side
    35,438x = 6,000,671,296
  5. Step 5: Solve for x
    x = 6,000,671,296/35,438
  6. Step 6: Final answer
    x = 169,328.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.