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Finding the Third Proportional to 14,775.06 and 32,061.76

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Solution

The third proportional to 14,775.06 and 32,061.76 is: 69,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.06 : 32,061.76 = 32,061.76 : x
  2. Step 2: Convert to fraction form
    14,775.06/32,061.76 = 32,061.76/x
  3. Step 3: Cross multiply
    14,775.06x = 32,061.76 × 32,061.76
  4. Step 4: Simplify right side
    14,775.06x = 1,027,956,564.51
  5. Step 5: Solve for x
    x = 1,027,956,564.51/14,775.06
  6. Step 6: Final answer
    x = 69,573.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.