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Finding the Third Proportional to 16,054 and 24,709

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Solution

The third proportional to 16,054 and 24,709 is: 38,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054 : 24,709 = 24,709 : x
  2. Step 2: Convert to fraction form
    16,054/24,709 = 24,709/x
  3. Step 3: Cross multiply
    16,054x = 24,709 × 24,709
  4. Step 4: Simplify right side
    16,054x = 610,534,681
  5. Step 5: Solve for x
    x = 610,534,681/16,054
  6. Step 6: Final answer
    x = 38,030.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.