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Finding the Third Proportional to 35,712 and 77,773.50

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Solution

The third proportional to 35,712 and 77,773.50 is: 169,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712 : 77,773.50 = 77,773.50 : x
  2. Step 2: Convert to fraction form
    35,712/77,773.50 = 77,773.50/x
  3. Step 3: Cross multiply
    35,712x = 77,773.50 × 77,773.50
  4. Step 4: Simplify right side
    35,712x = 6,048,717,302.25
  5. Step 5: Solve for x
    x = 6,048,717,302.25/35,712
  6. Step 6: Final answer
    x = 169,374.92

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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.