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Finding the Third Proportional to 14,595.19 and 23,411.53

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Solution

The third proportional to 14,595.19 and 23,411.53 is: 37,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.19 : 23,411.53 = 23,411.53 : x
  2. Step 2: Convert to fraction form
    14,595.19/23,411.53 = 23,411.53/x
  3. Step 3: Cross multiply
    14,595.19x = 23,411.53 × 23,411.53
  4. Step 4: Simplify right side
    14,595.19x = 548,099,795.47
  5. Step 5: Solve for x
    x = 548,099,795.47/14,595.19
  6. Step 6: Final answer
    x = 37,553.46

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.