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Finding the Third Proportional to 13,275.77 and 24,432.89

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Solution

The third proportional to 13,275.77 and 24,432.89 is: 44,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275.77 : 24,432.89 = 24,432.89 : x
  2. Step 2: Convert to fraction form
    13,275.77/24,432.89 = 24,432.89/x
  3. Step 3: Cross multiply
    13,275.77x = 24,432.89 × 24,432.89
  4. Step 4: Simplify right side
    13,275.77x = 596,966,144.29
  5. Step 5: Solve for x
    x = 596,966,144.29/13,275.77
  6. Step 6: Final answer
    x = 44,966.58

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.