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Finding the Third Proportional to 30,700.58 and 46,871.00

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Solution

The third proportional to 30,700.58 and 46,871.00 is: 71,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.58 : 46,871.00 = 46,871.00 : x
  2. Step 2: Convert to fraction form
    30,700.58/46,871.00 = 46,871.00/x
  3. Step 3: Cross multiply
    30,700.58x = 46,871.00 × 46,871.00
  4. Step 4: Simplify right side
    30,700.58x = 2,196,890,457.91
  5. Step 5: Solve for x
    x = 2,196,890,457.91/30,700.58
  6. Step 6: Final answer
    x = 71,558.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.