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Finding the Third Proportional to 46,414 and 70,709

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Solution

The third proportional to 46,414 and 70,709 is: 107,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,414 : 70,709 = 70,709 : x
  2. Step 2: Convert to fraction form
    46,414/70,709 = 70,709/x
  3. Step 3: Cross multiply
    46,414x = 70,709 × 70,709
  4. Step 4: Simplify right side
    46,414x = 4,999,762,681
  5. Step 5: Solve for x
    x = 4,999,762,681/46,414
  6. Step 6: Final answer
    x = 107,721.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.