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Finding the Third Proportional to 14,970.38 and 32,432.63

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Solution

The third proportional to 14,970.38 and 32,432.63 is: 70,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.38 : 32,432.63 = 32,432.63 : x
  2. Step 2: Convert to fraction form
    14,970.38/32,432.63 = 32,432.63/x
  3. Step 3: Cross multiply
    14,970.38x = 32,432.63 × 32,432.63
  4. Step 4: Simplify right side
    14,970.38x = 1,051,875,164.39
  5. Step 5: Solve for x
    x = 1,051,875,164.39/14,970.38
  6. Step 6: Final answer
    x = 70,263.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.