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Finding the Third Proportional to 35,428 and 77,444

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Solution

The third proportional to 35,428 and 77,444 is: 169,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,428 : 77,444 = 77,444 : x
  2. Step 2: Convert to fraction form
    35,428/77,444 = 77,444/x
  3. Step 3: Cross multiply
    35,428x = 77,444 × 77,444
  4. Step 4: Simplify right side
    35,428x = 5,997,573,136
  5. Step 5: Solve for x
    x = 5,997,573,136/35,428
  6. Step 6: Final answer
    x = 169,289.07

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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.