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Finding the Third Proportional to 1,875.66 and 4,071.94

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Solution

The third proportional to 1,875.66 and 4,071.94 is: 8,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.66 : 4,071.94 = 4,071.94 : x
  2. Step 2: Convert to fraction form
    1,875.66/4,071.94 = 4,071.94/x
  3. Step 3: Cross multiply
    1,875.66x = 4,071.94 × 4,071.94
  4. Step 4: Simplify right side
    1,875.66x = 16,580,675.00
  5. Step 5: Solve for x
    x = 16,580,675.00/1,875.66
  6. Step 6: Final answer
    x = 8,839.93

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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.