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Finding the Third Proportional to 23,045.77 and 34,780.64

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Solution

The third proportional to 23,045.77 and 34,780.64 is: 52,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.77 : 34,780.64 = 34,780.64 : x
  2. Step 2: Convert to fraction form
    23,045.77/34,780.64 = 34,780.64/x
  3. Step 3: Cross multiply
    23,045.77x = 34,780.64 × 34,780.64
  4. Step 4: Simplify right side
    23,045.77x = 1,209,692,962.29
  5. Step 5: Solve for x
    x = 1,209,692,962.29/23,045.77
  6. Step 6: Final answer
    x = 52,490.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.