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Finding the Third Proportional to 24,141 and 35,347.50

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Solution

The third proportional to 24,141 and 35,347.50 is: 51,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141 : 35,347.50 = 35,347.50 : x
  2. Step 2: Convert to fraction form
    24,141/35,347.50 = 35,347.50/x
  3. Step 3: Cross multiply
    24,141x = 35,347.50 × 35,347.50
  4. Step 4: Simplify right side
    24,141x = 1,249,445,756.25
  5. Step 5: Solve for x
    x = 1,249,445,756.25/24,141
  6. Step 6: Final answer
    x = 51,756.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.