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Finding the Third Proportional to 24,117.75 and 52,700.63

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Solution

The third proportional to 24,117.75 and 52,700.63 is: 115,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.75 : 52,700.63 = 52,700.63 : x
  2. Step 2: Convert to fraction form
    24,117.75/52,700.63 = 52,700.63/x
  3. Step 3: Cross multiply
    24,117.75x = 52,700.63 × 52,700.63
  4. Step 4: Simplify right side
    24,117.75x = 2,777,355,875.39
  5. Step 5: Solve for x
    x = 2,777,355,875.39/24,117.75
  6. Step 6: Final answer
    x = 115,158.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.