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Finding the Third Proportional to 30,602.81 and 59,686.88

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Solution

The third proportional to 30,602.81 and 59,686.88 is: 116,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.81 : 59,686.88 = 59,686.88 : x
  2. Step 2: Convert to fraction form
    30,602.81/59,686.88 = 59,686.88/x
  3. Step 3: Cross multiply
    30,602.81x = 59,686.88 × 59,686.88
  4. Step 4: Simplify right side
    30,602.81x = 3,562,523,047.27
  5. Step 5: Solve for x
    x = 3,562,523,047.27/30,602.81
  6. Step 6: Final answer
    x = 116,411.62

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.