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Finding the Third Proportional to 35,798 and 77,746

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Solution

The third proportional to 35,798 and 77,746 is: 168,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,798 : 77,746 = 77,746 : x
  2. Step 2: Convert to fraction form
    35,798/77,746 = 77,746/x
  3. Step 3: Cross multiply
    35,798x = 77,746 × 77,746
  4. Step 4: Simplify right side
    35,798x = 6,044,440,516
  5. Step 5: Solve for x
    x = 6,044,440,516/35,798
  6. Step 6: Final answer
    x = 168,848.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.