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Finding the Third Proportional to 35,829 and 77,497.50

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Solution

The third proportional to 35,829 and 77,497.50 is: 167,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829 : 77,497.50 = 77,497.50 : x
  2. Step 2: Convert to fraction form
    35,829/77,497.50 = 77,497.50/x
  3. Step 3: Cross multiply
    35,829x = 77,497.50 × 77,497.50
  4. Step 4: Simplify right side
    35,829x = 6,005,862,506.25
  5. Step 5: Solve for x
    x = 6,005,862,506.25/35,829
  6. Step 6: Final answer
    x = 167,625.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.