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Finding the Third Proportional to 15,700.50 and 36,829.69

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Solution

The third proportional to 15,700.50 and 36,829.69 is: 86,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.50 : 36,829.69 = 36,829.69 : x
  2. Step 2: Convert to fraction form
    15,700.50/36,829.69 = 36,829.69/x
  3. Step 3: Cross multiply
    15,700.50x = 36,829.69 × 36,829.69
  4. Step 4: Simplify right side
    15,700.50x = 1,356,425,881.35
  5. Step 5: Solve for x
    x = 1,356,425,881.35/15,700.50
  6. Step 6: Final answer
    x = 86,393.80

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.