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Finding the Third Proportional to 14,700 and 20,956.50

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Solution

The third proportional to 14,700 and 20,956.50 is: 29,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700 : 20,956.50 = 20,956.50 : x
  2. Step 2: Convert to fraction form
    14,700/20,956.50 = 20,956.50/x
  3. Step 3: Cross multiply
    14,700x = 20,956.50 × 20,956.50
  4. Step 4: Simplify right side
    14,700x = 439,174,892.25
  5. Step 5: Solve for x
    x = 439,174,892.25/14,700
  6. Step 6: Final answer
    x = 29,875.84

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.