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Finding the Third Proportional to 35,407 and 77,058

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Solution

The third proportional to 35,407 and 77,058 is: 167,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,407 : 77,058 = 77,058 : x
  2. Step 2: Convert to fraction form
    35,407/77,058 = 77,058/x
  3. Step 3: Cross multiply
    35,407x = 77,058 × 77,058
  4. Step 4: Simplify right side
    35,407x = 5,937,935,364
  5. Step 5: Solve for x
    x = 5,937,935,364/35,407
  6. Step 6: Final answer
    x = 167,705.13

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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.