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Finding the Third Proportional to 25,536.94 and 59,342.63

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Solution

The third proportional to 25,536.94 and 59,342.63 is: 137,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.94 : 59,342.63 = 59,342.63 : x
  2. Step 2: Convert to fraction form
    25,536.94/59,342.63 = 59,342.63/x
  3. Step 3: Cross multiply
    25,536.94x = 59,342.63 × 59,342.63
  4. Step 4: Simplify right side
    25,536.94x = 3,521,547,141.89
  5. Step 5: Solve for x
    x = 3,521,547,141.89/25,536.94
  6. Step 6: Final answer
    x = 137,900.14

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.