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Finding the Third Proportional to 58,747 and 83,746.50

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Solution

The third proportional to 58,747 and 83,746.50 is: 119,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,747 : 83,746.50 = 83,746.50 : x
  2. Step 2: Convert to fraction form
    58,747/83,746.50 = 83,746.50/x
  3. Step 3: Cross multiply
    58,747x = 83,746.50 × 83,746.50
  4. Step 4: Simplify right side
    58,747x = 7,013,476,262.25
  5. Step 5: Solve for x
    x = 7,013,476,262.25/58,747
  6. Step 6: Final answer
    x = 119,384.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.