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Finding the Third Proportional to 7,875.56 and 16,637.06

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Solution

The third proportional to 7,875.56 and 16,637.06 is: 35,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.56 : 16,637.06 = 16,637.06 : x
  2. Step 2: Convert to fraction form
    7,875.56/16,637.06 = 16,637.06/x
  3. Step 3: Cross multiply
    7,875.56x = 16,637.06 × 16,637.06
  4. Step 4: Simplify right side
    7,875.56x = 276,791,848.63
  5. Step 5: Solve for x
    x = 276,791,848.63/7,875.56
  6. Step 6: Final answer
    x = 35,145.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.