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Finding the Third Proportional to 30,312 and 46,428

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Solution

The third proportional to 30,312 and 46,428 is: 71,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312 : 46,428 = 46,428 : x
  2. Step 2: Convert to fraction form
    30,312/46,428 = 46,428/x
  3. Step 3: Cross multiply
    30,312x = 46,428 × 46,428
  4. Step 4: Simplify right side
    30,312x = 2,155,559,184
  5. Step 5: Solve for x
    x = 2,155,559,184/30,312
  6. Step 6: Final answer
    x = 71,112.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.